# NCERT Solutions Class 6 Maths Chapter 3 Ex- 3.4 – Playing With Numbers

## NCERT Solutions Class 6 Maths Chapter 3 Ex- 3.4 – Playing With Numbers

All of the textbook problems found in the NCERT textbook are fully explained in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4. These solutions are the best resource for cross-referencing since they explain each difficult question step by step. Students can verify their responses and develop a sense of how to properly write answers to questions. Subject specialists of Maths have developed the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4. They have made painstaking efforts in finding the most accurate and efficient way to get the desired outcome. They also offer the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 in simple language so that students can readily understand the explanations.

NCERT Class 6 Maths solutions are used as a transitional tool between elementary and secondary education. They aid students in remembering the ideas they learnt in junior classes and blend them with some novel and advanced ideas that signal the beginning of middle school. These answers can be used to prepare for annual, half-yearly, and unit examinations by students in Class 6. They are also very good at preparing for competitive exams like the Olympiads. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 make sure that students have a strong conceptual grasp of fundamental mathematical concepts that will serve as the cornerstone for the remainder of their academic lives. The principles covered in the maths curriculum of Class 6 serve as the foundation for more advanced studies. If students do not know and understand these, they could pose a challenge when they go on to the senior grades. In order to prevent unnecessary confusion, students should regularly review the chapters via the links provided above.

The importance of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 for CBSE students is remarkable. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are crucial since they provide an organised method of test preparation. The advantages of using these thorough sources for learning are listed below.

• Time management: The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 provides students with a good pace so that they not only finish all of the chapters within the allotted time but also have time to look over each lesson again. They are highly helpful during tests since they provide a broad overview of all the topics so that students may rapidly review them and retain crucial information.
• Exam preparation – Students can achieve the best results by dealing with exam papers step-by-step and providing clear justifications for each computation they complete. Students may learn how to effectively present their answers in an exam to increase their chances of receiving excellent marks by studying the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.
• Understanding Topics: The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 have been prepared in a way that makes difficult concepts easy to understand. Therefore, regardless of the level of complexity, all students can easily grasp all concepts and use them to solve problems.
• Students can learn more about subjects like multiples, divisors, factors, and the recognition of multiples and factors by using the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 based on Playing With Numbers. Both the concepts of whole numbers and natural numbers have been covered in the previous two chapters. Students shall advance in the understanding of factors and multiples of a number with the aid of this chapter. Activities relating to these ideas are included in the NCERT Solutions For Class 6 Maths Chapter 3 Exercise 3.4, which makes learning incredibly simple.

Students will be able to determine a number’s components using various strategies with the aid of the exercise questions. They will also be able to grasp how these ideas might be applied to their everyday lives. There are a total of 7 exercises in Chapter 3 of Playing with Numbers to which the solutions to NCERT Class 6 Maths Chapter 3 Exercise 3.4 pertain. Students could conduct a thorough study of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 to excel in exams.

### Access Other Exercises of Class 6 Maths Chapter 3

 Chapter 3 – Playing with Numbers Exercises Exercise 3.1 4 Questions & Solutions Exercise 3.2 12 Questions & Solutions Exercise 3.3 6 Questions & Solutions Exercise 3.5 12 Questions & Solutions Exercise 3.6 3 Questions & Solutions Exercise 3.7 11 Questions & Solutions

## Class 6 Maths Chapter 3 Exercise 3.4 – NCERT Solutions

Middle school begins in the sixth grade, and the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 make the transition simple so that students can review the concepts they learnt in earlier classes and link them to more complicated subjects. To help students better comprehend the chapter at hand, the answers offer a step-by-step and explanatory approach to every problem. Even though Maths can be difficult, it can also be well-scored when well-prepared. For students struggling with a certain mathematical idea, Extramarks’ NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are an excellent study resource. Extramarks offers in-depth answers for all topics from Class 1 to Class 12, assisting students in passing exams with good marks. The NCERT solutions for class 6 Maths have been properly created and organised by subject specialists with years of experience in teaching. These answers are developed to help students find answers to their questions and to provide a step-by-step procedure for handling difficult maths problems. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 have been resolved with the same devotion by subject matter experts who are similarly knowledgeable and skilled. There are several problems in NCERT Class 6 Maths Chapter 3 Exercise 3.4. Some questions are straightforward, while others need more conceptual clarity. Some sums could be challenging and call for guidance. Not every question can be answered in one sitting by students. The solutions to all of the sums in Class 6 Maths Chapter 3 Exercise 3.4 are included in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4. For students who are doing the exercise for the first time, these solutions serve as an excellent reference. Students who wish to quickly review material after the school year might benefit from it as well. On the Extramarks website, all 14 chapters of the class 6 NCERT Maths solutions are accessible and can be downloaded in PDF format. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 PDF versions are available for download on this website. Along with textbook exercises, examples with answers included in the text, and reference resources, these solutions are essential while preparing for the examination. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are a comprehensive study tool for students who are getting ready for a variety of test questions. Students can simply obtain the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  by clicking on the supplied link.

### Access NCERT Solutions for Class 6 Maths Chapter 3 – Playing with Numbers

Online resources include the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  pertaining to Maths Class 6 Chapter 3 Exercise 3.4 and solutions for more exercises are also available. These solutions are provided by Extramarks, a highly reputed online learning platform in India. It includes a PDF of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 based on Playing with Numbers. These techniques are quite helpful while preparing for exams. These solutions are created by subject-matter experts with substantial topic knowledge and years of teaching experience. At their respective convenience, students are recommended to obtain the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.

The numerous educational tools offered on the Extramarks website should be used by students. Class 6 exam preparation will benefit from a correct combination of NCERT Solutions, including the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4, sample questions, past years’ papers, etc.

### Maths Class 6 Chapter 3 – Playing With Numbers

In this chapter, the concepts of factor,multiple, prime number, composite number, co-prime number, laws of divisibility, The Highest Common Factor (HCF), and The Lowest Common Multiple (LCM) are introduced to students. A number’s precise divisor is referred to as a factor. A prime number is any number other than 1 that has just two factors, which are 1 and the number itself. Composite numbers are those that have more than two factors. Co-prime numbers are two numbers that share just the number 1 as a common factor. By using the numbers 2, 3, 4, 5, 8, 9, and 11, it is possible to determine if a given integer is divisible using the rules of divisibility. The aforementioned subjects are connected. As one issue leads to another, the student’s capacity for correlation grows. Additionally, the six chapters that follow this one set the foundation for the more advanced and intricate topics that will be covered. The student’s multiplication abilities from earlier sessions are assessed in this chapter. A strong understanding of tables aids in providing accurate and timely replies. This chapter’s contents provide the foundation for Class 6 upcoming chapters on fractions, which will focus on helping students grasp them better. So students should consider the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 for better preparation.

In the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 based on Playing With Numbers, the idea of common multiples and common factors is covered. One of the most crucial ideas that will aid students in differentiating between factors and multiples is this one.

As questions are presented with various foci, this activity will test a student’s reasoning and imagery abilities. Before tackling the problems in this exercise, students must review the theory and work through several examples. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are based on Chapter 3 and the topic of Co-prime numbers which is another topic covered in Playing with Numbers. Co-prime numbers are two numbers that only share the first factorin common. By figuring out the answers to the questions, students will have a deeper understanding of this concept.

The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 assists students in seeing pairs of numbers and determining their multiples and factors. From the standpoint of the test, this is one of the most significant exercises. Extramarks’ Class 6 Maths Chapter 3 Exercise 3.4 Solution is easily accessible online. The chapter on Playing With Numbers is essential in terms of the exam. For review and test success, students must obtain the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.

#### Introduction

The introduction to the new idea of Arithmetic is presented in the first portion of Class 6 Chapter 3 Playing with Numbers, where students will encounter questions about numbers and their qualities. The specialists at Extramarks created an engaging introduction to help students get engaged in utilising various numbers and their qualities to solve Maths problems. This section of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  will offer a few illustrations to help a learner become familiar with the new concepts. The first segment’s marble example will show students how different types of objects can be arranged in different ways. All the difficult problems are solved systematically and accurately. Students can use the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 without any inhibitions due to their credibility.

The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will show students how many different ways six marbles can be put together  make a pattern. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will introduce the idea of rows and columns. In reality, students will also be exposed to the notion of factors, which they have previously learned and used to solve problems, so they can comprehend how previous knowledge is used to solve more complex problems in the future. As students move further, the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will also discuss a composite number and its constituent parts. Additionally, it will recall how a number can be factored and how its components can be utilised as hints to solve a problem. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will also explain how to apply these major concepts directly to seize control of a challenge and discover a solution. A learner will comprehend how factors and multiples might be applied to various sums later on after finishing this lesson.

#### Factors and Multiples

If students keep reading, the following part will lead them to a more complex level of multiples and factors. For Class 6 students, this subject will provide a basis for employing multiples and factors principles in solving questions other than those related to finding LCM and HCF. The significance of reminders will be put into effect when the conceptions of division and multiplication are revised. The examples provided in the NCERT textbook in this part will explain how a number, its factors, and its multiples are discovered. Additionally, these will explain what divisor, dividend, and remainder mean. These concepts and topics are crucial to understanding for  examination purposes, so Extramarks has come up with the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4. These solutions contain lots of simplified terms that will help students to understand them easily.

Factors and multiples will be explained to students in NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 which will also explain how and why factors have a lower value than the original number as students move forward. On the other hand, these solutions will also go into the reasons why some multiples are higher than others. As one can see, the purpose of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  is to teach learners about factors and multiples at a fundamental level.

Some games have also been shown as illustrations of the new ideas in the NCERT Solutions for Class 6 Maths, Chapter 3 Exercise 3.4.Students will be able to participate and learn new ideas. On occasion, the remainder concept and its relationship to the concepts of multiples and factors will be clarified.The solutions to Maths Class 6 Chapter 3 Exercise 3.4 created by the experts at Extramarks will also go through how to use various methods for dealing with different kinds of questions to solve problems in the future. Students can learn why the particular strategies for responding to questions were deployed by referring to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.

Students will be led to engage in some engaging activities by these solutions. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will enable students to discover how the concepts of factors of a number fit in when they complete the exercises correctly and according to the teacher’s directions. This is the first of many planned new Arithmetic ideas that will use factors and multiples on a very large scale. The main goal of this part will be to define what factors are and how they can be computed. As they continue, a learner will find instances that have been put into practice. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will showcase many issues and show how to solve them using the most basic techniques. If students look at the Class 6 Maths Chapter 3 Exercise 3.4 Solution created by highly qualified mentors, they will see how crucial it is to adhere to the guidelines in the chapter’s opening part. Problems like factorisation, multiple finding, and matching will be included in the exercise that is encapsulated in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.

#### Prime and Composite Numbers

Students will move on to this part where the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will cover prime numbers and composite numbers after thoroughly describing the new notions of factors and multiples in the previous section. There will be a unique set of factors for prime numbers. The distinction between a prime number and a composite number will be addressed and proven as this section goes on utilising tabular presentations and examples. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are reliable sources to inculcate in the preparation.

The two factors that  prime numbers have are 1 and the number itself, as seen in a table. However, the composite numbers will include more than just the two previously indicated factors. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will explain the fundamental distinctions between prime and composite numbers as well as the methodology used to solve the new problems. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will help students understand the characteristics of prime numbers.Similarly, students will learn about unique characteristics and distinctions from the definition and instances of composite numbers. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will then go on to explore how the number “1” is wholly unique from the others. It does not belong to either the prime number sets or the category of composite numbers. With flawless logic, the fundamental distinction between 1 and other prime and composite numbers will be made clear.

With the help of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4, a detailed discussion of Eratosthenes’ history of defining the characteristics of numbers from 1 to 100 will be provided. For students to adequately absorb the new concepts of prime and composite numbers, they will also complete an assignment that is stated in this chapter. Students will learn about a novel technique known as the “Sieve of Eratosthenes” so they can quickly determine if a given number is a prime number or a composite one. This part advances to a series of examples developed by a Class 6 student’s comprehension so that the recently taught can be validated and comprehended. After this part, students will do an activity with the help of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 in which they will encounter new problems related to the most recent prime and composite number concept they mastered.

#### Tests for Divisibility of Numbers

As students proceed to the following level, the fourth portion of this chapter will elaborate on how factors may be used to divide numbers. This part will pique students’ curiosity to investigate more deeply and determine the relationship between a number and its elements by posing straightforward questions to them. As the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 progress, these will explain how to identify the appropriate factors of a number that can be used to divide it without producing a remainder. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are very important to include in the study material. These will provide value to the preparation.

The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 have been organised so that these solutions can respond to all the queries that students can have regarding the divisibility of particular integers. Every number depends on a few different variables, and it is possible to determine whether a given number will be divisible by another using straightforward mathematical techniques. Students will learn in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  how to determine if a number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 in the following section of the chapter.

The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will go through how to assess a number using basic mathematical techniques rather than the long division method to determine if it is divisible by the numbers given above. The laws of divisibility by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 should be properly segmented to make it simpler for students to learn and practise on their own. These techniques are created and presented in such a way that a student in Class 6 can understand the underlying idea and quickly use them in the future to overcome problems in tests. Students will also find it simpler to understand the new topics of divisibility and resolve the questions similar to those in NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 after referring to these solutions engineered by experts of Extramarks. This will enable students to save time and apply their newly acquired knowledge to difficult situations in later lectures. When learners want to quickly learn how to answer the divisibility sums, they must go to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 and download these solutions. Students can build a strong foundation for this particular portion and go on to the next level by practising these problems and their solutions.

#### Common Factors and Common Multiples

This part will lead students to the next level, where the factors of more than one number will be taken into consideration, once the notion of dealing with the factors and multiples of single numbers is done. In the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4, they will utilise their understanding of LCM and HCF methods to determine the common multiples and factors of a given collection of integers. This part will focus on recalling the previous LCM and HCF ideas. Students will be able to recall the previous principles after perusing a few solved questions. A few solutions will also improve the student’s understanding of LCM and HCF.The NCERT Solutions for Class 6 Maths, Chapter 3, Exercise 3.4 are useful resources for studying and answering questions from Exercise 3.4 in Class 6.

Students will be able to fully comprehend new ideas after working through  NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  in this section and realising how factors and multiples relate to determining a number’s divisor. The information from earlier chapters in this chapter will be applied to a new exercise. The problems in this part will focus on honing the ability of students to determine the factors and multiples of numbers they have studied in this chapter. Due to the fact that all of the questions are based on the ideas of LCM and HCF, this exercise is easy and would not provide any challenges to students. A learner will be prepared to move on to explain new, more complex ideas of divisibility after finishing this task. Students will learn how to quickly resolve these questions by looking up NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.When a learner downloads the answer for this part, they can quickly look up the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 offered by the Extramarks learning portal and quickly grasp the ideas needed to go on to the chapter’s more difficult portions.

#### Some More Divisibility Rules

Students will move on to an advanced level of factors and multiples in the following section of this chapter. They will learn how to locate common factors and multiples among a group of integers in this part. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will begin by posing a few queries on the composition of composite numbers and how to identify common variables. It will also demonstrate how and why, when a smaller composite number has the same set of numbers as factors, a larger composite number can likewise be divided. The most basic examples will get students thinking about how common variables are established, and the idea can be applied to come up with answers for other sorts of problems. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will help Class 6 students understand how common variables can be identified by providing a few straightforward examples. In reality, the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will also educate students on how two composite numbers’ coprime factors relate to one another. For instance, the product of two co-prime numbers will also be able to divide a number if it is divisible by two co-prime numbers. The second notion presented by the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 is that the sum of two numbers can be divided by a number when both of the numbers can be divided by that number independently without producing a remainder. This concept is more sophisticated. Students will also understand that when the requirements are met, the difference between the two composite numbers will likewise be divisible by the same number.

These sophisticated ideas will be extremely beneficial to students. The only difficulty is in comprehending and using them to address questions. For this, it would be best to think about the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  for answering specific questions. The mentors of Extramarks have created the ideal method for teaching students how to solve these problems by taking into account the NCERT textbook’s suggested methods. Referring to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will enable students to recognise the most effective strategies and discover the answers by independently gathering the hints. To quickly and easily resolve the difficult sums and obtain the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 for the same, they might want to refer to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 provided by the Extramarks portal for learning.

#### Prime Factorisation

The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  will continue into a new part where the previous ideas on prime factorisation will be updated. By reading over the examples presented in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4, students will be able to recall what they learnt about prime factorisation in the earlier courses. These examples will illustrate how to prime factorise a composite number and how far a student should go. Every stage of factorisation results in the identification of prime numbers that are factors of a composite number. This phase will be repeated until the variables can no longer be divided into further factors. This part will introduce students to the “Factor Tree” level of advanced factorisation. Using flow charts, a student will be instructed to create a tree-type diagram to divide larger composite components of a number into smaller factors. In reality, when a larger composite number is required, students can also apply the traditional approach of factorisation. A collection of challenges created by the NCERT textbook for the learning of new concepts will be subsequently  presented to students as part of an activity following this section. Students can accurately understand how to approach these solutions and solve them by utilising the answers offered by mentors for Maths Class 6 Chapter 3 Exercise 3.4. This exercise will employ a novel question format that requires assistance from the solutions. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  to these questions, which are based on basic number concepts, must be determined by the learner using his or her knowledge.

#### Highest Common Factor (HCF)

Students will progressively learn how to determine the factors of a composite number using both general and novel notions, as instructed in the preceding sections. They will proceed to discover the two supplied numbers’ highest common factor in this section. The concepts of factors and multiples as well as prime factorisation will be explained in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.

Finding the common factors of two integers is simple, but determining the highest common factor requires some special knowledge. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will also explain why the greatest common divisor (GCD) is sometimes known as the highest common factor (HCF). GCD and HCF are comparable in that a group of composite numbers can be divided individually by their largest common factor. As a result, it is also the largest common divisor of the supplied composite numbers. The following part will lead to an experiment where students will encounter brand-new problems after learning the fundamentals of how to compute HCF or GCD. The new question patterns will be shown in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4. Students can learn the simplest methods to solve these questions by perusing the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 PDF. So that students can comprehend and use them appropriately, the instructors of Extramarks have clarified how to answer the sums in accordance with NCERT criteria. Practice solving HCF problems using this answer as a guide in the future.

#### Lowest Common Multiple (LCM)

When students keep going, they will get to the part where they learn about the lowest common multiples. The definition and calculation of the lowest common multiple (LCM) of a group of numbers are covered in this section of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4. After providing a few illustrations, this part will instruct students on how to approach an issue and use the principles to solve it. Every illustration in this section of the NCERT Class 6 Maths Chapter 3 Exercise 3.4 is thoroughly explained in a step-by-step fashion so that students can quickly comprehend how a problem is addressed and solved. A step is explained in a way that will help the reader understand the basic ideas behind the LCM concept.

#### Some Problems On HCF and LCM

A student will learn to use these principles in an arithmetic problem after grasping the novel idea of doing the LCM of a collection of integers in a composite method. Examples in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 will emphasise how the concepts of factors and multiples, HCF, and LCM can be applied to particular questions. The examples used in this section will be carefully explored in easy-to-understand ways to help students understand how the idea is twisted and applied.These concepts are briefly described in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4. Students can quickly learn how this chapter gradually expanded the notion of factors, multiples, and factorisation so that they can engage with numbers by referring to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4. To gain a deeper knowledge of the chapter and begin resolving the problems on their own, students are advised to use the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4  for the enumerated problems in the Class 6th Math Exercise 3.4.

#### Other Chapters in Class 6 NCERT Maths Book

NCERT solutions are regarded as a very valuable tool for exam preparation. Students have access to questions provided in the NCERT textbook and their solutions. Due to the fact that CBSE Class 6 Maths NCERT solutions are written by subject specialists, they will undoubtedly help students get high test scores. The questions in NCERT textbooks are developed by CBSE, giving them a better probability of showing up on examinations. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 help students establish a strong foundation in the subject and equip them with the skills necessary to answer a variety of problems with confidence.

Students get an advantage with real-world applications of mathematical concepts due to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4. Students can use these textbook solutions for both their regular assignments and examinations. The solutions provided are clear, and each step is presented in order to correspond with the student’s comprehension.

#### Chapter 1 Knowing Our Numbers

Working with numbers has already been enjoyable for students. The rest of this chapter will cover interesting subjects including how larger numbers are created, how to use commas, how to utilise place value charts, how to rearrange digits to create new numbers, how to rank numbers in ascending and descending order, etc. Following exercise 1.2, the topic estimate is discussed using the nearest tens, hundreds, and thousands of the numbers.

#### Chapter 2 Whole Numbers

Students can infer from the title what this chapter discusses. In this chapter, whole numbers are discussed. Important topics include the number line and properties of whole numbers. These subjects are covered at the chapter’s outset. Properties include the distributive property of whole numbers, commutativity, associativity, and closure property. The final subject covered in this chapter is on whole numbers.

#### Chapter 3 Playing With Numbers

Playing with numbers, Chapter 3 of the Maths NCERT textbook for Class 6, is intended to be engaging and enticing, in order to make learning enjoyable. Students will undoubtedly find this chapter intriguing since it describes a variety of games and activities. The following subjects are covered in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4: Factors and multiples, Prime and composite numbers, Tests for divisibility of numbers, Common factors and common multiples, Some more divisibility rules, Prime factorisation, Highest common factor, Lowest common multiple, Some problems on HCF and LCM. As a result, many new ideas will be presented to students in this chapter, and as the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 goes on, more engaging concepts like divisibility, LCM, and HCF will be covered. The many sorts of numbers, including factors and multiples of the same, will become more familiar to students. A lot of definitions, examples, exercises, graphics, flowcharts, and other extras are included in each part to make it more interesting. The  NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are available on the Extramarks website. Students can download the  NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.

#### Chapter 4 Basic Geometrical Ideas

This chapter helps to build an understanding of geometrical concepts. Points are the chapter’s first subtopic, followed by A Line Segment. This chapter includes a discussion of the concepts of lines, intersecting lines, parallel lines, rays, curves, and polygons. In addition, this chapter fully explains angles and words linked to them, such as vertex, interior, exterior, arms, etc. Later, with the aid of examples and the necessary illustrations, Triangles, Quadrilaterals, and Circles are thoroughly described.

#### Chapter 5 Understanding Elementary Shapes

Here, the fundamental shapes—Triangles, Circles, Polygons, etc.—will be fully studied.  This chapter will show you how to draw a line using a pencil, scale, and divider step by step.The many kinds of angles and how to measure them will also be covered. It will next discuss several triangle kinds according to their characteristics. Additionally, polygons and solid figures will be briefly discussed. Understanding Elementary Shapes in Class 6 Maths NCERT – The chapter clarifies several ideas regarding the forms humans encounter every day. Measuring Line Segments is the first topic covered in the chapter. In this part, many comparison techniques will be examined. Along with these solutions, the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are also present on the Extramarks website.

#### Chapter 6 Integers

Students get familiar with the idea of integers in this chapter. A thorough explanation of the concept of integers and their representation on a number line is provided at the outset. This section provides a thorough description of several integer operations. With the use of a number line, integer addition is followed by the subtraction and addition of integers. In this chapter on integers, students will discover some new ideas, such as additive inverse.

#### Chapter 7 Fractions

This chapter will introduce students to the ideas of fractions once they have finished working with whole numbers and integers. It will explain how a number line can also be used to comprehend fractions. In the next part, a description of proper, improper, and mixed fractions will be provided. The learner will learn how fractions are compared to one another in the next section. This chapter will go through how two fractions can be compared using various instances. The HCF and LCM ideas will be applied in this situation to compute various concepts and determine the relationship between two or more provided fractions.

#### Chapter 8 Decimals

Decimal operations are covered in this chapter. It addresses the idea of displaying decimals on a number line. The chapter’s first part discusses tenths, hundredths, and how to compare decimals. The notion of adding and subtracting decimal numbers is covered in the subsequent section. Additionally, decimals are used to quantify things like length, weight, and money. The addition of decimals will help students understand fractions better.Chapter 9 Data Handling

Students are introduced to the idea of data, types of data, and various representations of data in Chapter 9 of Class 6 Maths, Data Handling. The fundamental subjects covered in this chapter to aid students in understanding the concept of data handling include an introduction to data, recording data, an organisation of data, introduction to the idea of a pictograph, interpretation of a pictograph, how to draw a pictograph, an introduction to a bar graph, interpretation of a bar graph presentation, and how to draw a bar graph.

#### Chapter 10 Mensuration

In Class 6 Chapter 11 Mensuration, students learn about measuring forms and figures by their area and volume.An introduction to measuring perimeter, the perimeter of a rectangle, the perimeter of regular shapes, an introduction to measuring area, the area of a rectangle, and the area of a square are the basic subjects covered here.In this chapter on mensuration, where students must determine the proportions of an item or a form, the ideas presented regarding closed figures and polygons will now be employed.

#### Chapter 11 Algebra

Algebra Chapter 11 introduces students to a completely new idea in Maths by having them solve problems using various alphabets. There are a total of 5 exercises in this chapter. The main ideas covered in this chapter include an introduction to Algebra, matchstick patterns, the notion of a variable, examples of variables, and uses of variables in common rules, expressions with variables, utilising expressions practically, equations, and equation solutions. To start, students will learn about variables by using the standard rules. The commutative law of addition will also be explained in this section. One could refer to a range of NCERT Solutions such as the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.

#### Chapter 12 Ratio and Proportion

The definitions of Ratio and Proportion are covered in Chapter 12. The meanings of the symbols will be made clear to students with the use of appropriate examples. The use of ratio and proportion will be discussed using a few instances. The relationship between the two ratios will also be covered as students move along. Additionally, students will learn how to approach questions using the unitary technique. Students are advised to take note of the examples in this chapter. To make it simpler for students, they can also utilise the chapter’s solutions. They will be able to gauge their level of understanding of this new chapter after completing the activities. To download the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 students can visit the Extramarks website and mobile application.

#### Chapter 13 Symmetry

The word “symmetry” is used relatively frequently in regular speech. The details of symmetry will be covered in this chapter. It supports the theories about creating symmetrical creatures, such as inkblot art. The idea of Figures with Two Lines of Symmetry and the subject of Figures with Multiple (more than two) Lines of Symmetry will be introduced to students. Reflection and symmetry will be the main topics of discussion in this chapter. A good description of various forms and their lines of symmetry can help make the phrase “line symmetry” apparent. To understand the difficult topics one must check the NCERT Solution Class 6 along with the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4.

#### Chapter 14 Practical Geometry

The principles of constructing different shapes are all covered in this chapter. The chapter will open with a discussion of several geometrical tools and their applications. The creation of Circles, Line Segments, and Angles is covered in this chapter. In this chapter, students will learn how to construct a duplicate of the circle as well as about line segments and angles. Students will also learn about perpendicular line segments and angle bisectors in addition to this. Compasses and rulers are used to construct these geometrical forms. Set squares and paper folding are also used in certain creations. A thorough explanation of the aforementioned subjects is provided. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are developed by Extramarks.

For students in classes K–12, the Extramarks learning platform is a portal that offers educational alternatives. The talented group of educators who toil ceaselessly have made it feasible for this platform to offer students every answer they require for their exams. Traditional educational approaches must adapt to reflect the ongoing evolution of the field. Technology has increasingly been included in schooling during the last few years. Everything has become dependent on the internet as a result of rising internet usage and technological advancement. Therefore, it is essential to include technological improvements in learning and teaching techniques for students to receive the best possible education. Exactly this is what Extramarks has been doing regularly by offering educational technology (ed-tech) solutions to students across all age ranges.

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Q.1 Find the common factors of:
(a) 20 and 28 (b) 15 and 25
(c) 35 and 50 (d) 56 and 120

Ans.

(a) Factors of 20 = 1, 2, 4, 5, 10, 20
Factors of 28 = 1, 2, 4, 7, 14, 28
Common factors of 20 and 28 = 1, 2, 4

(b) Factors of 15 = 1, 3, 5, 15
Factors of 25 = 1, 5, 25
Common factors of 15 and 25 = 1, 5

(c) Factors of 35 = 1, 5, 7, 35
Factors of 50 = 1, 5, 10, 25, 50
Common factors of 35 and 50 = 1, 5

(d) Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56
Factors of 120 = 1, 2, 3, 4, 5, 6, 8, 12, 24, 40, 60, 120
Common factors of 35 and 50 = 1, 2, 4, 8

Q.2 Find the common factors of: (a) 4, 8 and 12 (b) 5, 15 and 25

Ans.

(a) Factors of 4 = 1, 2, 4
Factors of 8 = 1, 2, 4, 8
Factors of 12 = 1, 2, 4, 6, 12
Common factors of 4, 8 and 12 = 1, 2, 4

(b)Factors of 5 = 1, 5
Factors of 15 = 1, 3, 5, 15
Factors of 25 = 1, 5, 25
Common factors of 5, 15 and 25 = 1, 5

Q.3 Find first three common multiples of:
(a) 6 and 8
(b) 12 and 18

Ans.

(a) Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, …
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, …
First three common multiples of 6 and 8 = 24, 48, 72

(b) Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, …
Multiples of 18 = 36, 54, 72, 90, 108, …
First three common multiples of 6 and 8 = 36, 72, 108

Q.4 Write all the numbers less than 100 which are common multiples of 3 and 4.

Ans.

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96
Common multiples of 3 and 4 = 12, 24, 36, 48, 60, 72, 84, 96.

Q.5 Which of the following numbers are co-prime?
(a) 18 and 35
(b) 15 and 37
(c) 30 and 415
(d) 17 and 68
(e) 216 and 215
(f) 81 and 16

Ans.

(a) Factors of 18 = 1, 2, 3, 6, 9, 18
Factors of 35 = 1, 5, 7, 35
Common factor = 1
So, 18 and 35 are co-prime numbers.

(b) Factors of 15 = 1, 3, 5, 15
Factors of 37 = 1, 37
Common factor = 1
So, 15 and 37 are co-prime numbers.

(c) Factors of 30 = 1, 3, 5, 6, 15, 30
Factors of 415 = 1, 5, 83, 415
Common factor = 1, 5
So, 30 and 415 are not co-prime numbers.

(d) Factors of 17 = 1, 17
Factors of 68 = 1, 2, 4, 17, 34, 68
Common factor = 1
So, 17 and 68 are co-prime numbers.

(e) Factors of 216 = 1, 2, 3, 4, 6, 8, 36, 72, 108, 216
Factors of 215 = 1, 5, 43, 215
Common factor = 1
So, 216 and 215 are co-prime numbers.

(f) Factors of 81 = 1, 3, 9, 27, 81
Factors of 16 = 1, 2, 4, 8, 16
Common factor = 1
So, 81 and 16 are co-prime numbers.

Q.6 A number is divisible by both 5 and 12. By which other number will that number be always divisible?

Ans.

Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, …
Multiples of 12 = 12, 24, 36, 48, 60, 72, …
Here, 60 is divisible by both 5 and 12.
60 is always divisible by 1, 2, 3, 4, 6, 10, 15, 30 too.

Q.7 A number is divisible by 12. By what other numbers will that number be divisible?

Ans.

A number which is divisible by 12, can be divided by 1, 2, 3, 4 and 6.

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### 1. What advantages do the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 offer?

The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 by Extramarks are very useful for comprehending the various questions in Exercise 3.4 Class 6th to guarantee the accuracy of their final response by matching it. Students can utilise the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 to double-check their approach and methodology or to correct their calculations. Using NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4, students may easily recognise their misconceptions and minor miscalculations and rectify them. On the Extramarks website and mobile application, the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are available for download.

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The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 are crucial solutions for reference. The step-by-step solutions encapsulated in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 use precise techniques. These can be incorporated by students into their revision notes. Incorrect calculations may be fixed with the use of the solution.

### 3. How can one study for the test using the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4?

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