NCERT Solutions for Class 6 Maths Chapter 3

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

The NCERT solutions for Class 6 Maths Chapter 3 ‘Playing with Numbers’ are helpful for test preparation. Maths develops logical reasoning, abstract thinking, and imagination among students.The subject matter experts have prepared these NCERT solutions to help students get a better understanding of the topic. Multiples, divisors, factors,  how to recognize factors and multiples and HCF and LCM, are covered in this chapter.

When students enter Class 6, they are introduced to the NCERT solutions for Class 6 Maths Chapter 3 syllabus, which is quite diverse and covers a wide range of topics. Playing with Numbers, the third chapter of the Maths syllabus focuses on multiples and divisors. Students are introduced to subjects such as common factors and multiples, divisibility laws, best common factors, lowest common factors, and so on. Students will be able to understand prime and composite numbers and their differences, provided they have a thorough understanding of the chapter.

NCERT Solutions Class 6 Maths Other Related Chapters

NCERT Solutions Class 6 Maths Chapter-wise List
Chapter 1 – Knowing Our Numbers
Chapter 2 – Whole Numbers
Chapter 4 – Basic Geometrical Ideas
Chapter 5 – Understanding Elementary Shapes
Chapter 6 – Integers
Chapter 7 – Fractions
Chapter 8 – Decimals
Chapter 9 – Data Handling
Chapter 10 – Mensuration
Chapter 11 – Algebra
Chapter 12 – Ratio and Proportion
Chapter 13 – Symmetry
Chapter 14 – Practical Geometry

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

The content of the NCERT Solutions for Class 6 Maths Chapter 3 – Playing with Numbers is made engaging and appealing to make learning enjoyable with examples, and graphics to make it colorful and interesting.

NCERT Class 6 Maths Chapter 3 

Students should study for their examinations with the help of NCERT solutions for Class 6 Maths Chapter 3. Various solved examples are provided to assist students in understanding how to calculate these sums. The solutions are available on the official website of Extramarks. The formulas studied and implemented in this chapter are primary equations that will help to answer difficult equations later on.

NCERT Class 6 Maths Chapter 3 Exercises

NCERT Solutions for Maths Class 6 from Extramarks can be accessed easily. The NCERT Class 6 Maths Chapter 3 in-text exercises as well as exercises at the end of each unit in NCERT textbooks are designed to assist students in answering difficult problems.

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 3.4
7 Questions & Solutions
Exercise 3.5
12 Questions & Solutions
Exercise 3.6
3 Questions & Solutions
Exercise 3.7
11 Questions & Solutions

Students can now strive for excellence in their exams with the help of Extramarks Class 6 Maths Chapter 3 solutions.

3.1 – Introduction

The objective is to give students a basic understanding of division and components. The rest of the study is centered around this section.

3.2 – Factors and Multiples

The first set of tasks in NCERT answers for Class 6 Maths Chapter 3 – Playing with Numbers encourages students to recognize multiples and factors. According to the rule, every integer is also a multiple of itself.

3.3 – Prime and Composite Numbers

This portion of the textbook determines which numbers are prime and composite. The segment also explains why 2 is the smallest prime number and why one cannot be a composite and a prime number.

3.4 – Tests for Divisibility of Numbers

This section of Chapter 3 teaches students which integers are divisible by 10, 5, 2, 3, 6, 4, 8, 9, and 11. Find out how this divisibility test can help you.

3.5 – Common Factors and Common Multiples

Mastering the subject of numbers necessitates a thorough understanding of frequent multiples and factors. This exercise shows how some numbers are multiples and factors of others.

3.6 – Some More Divisibility Rules

To obtain a thorough understanding of factors and multiples, the learner will need to know some divisibility rules. For in-depth knowledge of the topic, consult the NCERT solutions Chapter 3.

3.7 – Prime Factorization

The prime factors are discussed in this section of NCERT Class 6 Maths Chapter 3 and how they are multiplied to form the original number. In this segment,  students will learn how to factorize prime numbers.

3.8 – Highest Common Factor

Students must understand the basic concept of HCF or the highest common factor. It’s important from the exam point of view.

3.9 – Lowest Common Multiple 

LCM (Lowest Common Multiple) is usually included in the tests. Once students grasp the equations and how they are framed, the LCM  calculation method is relatively simple.

3.10 – Problems of HCF and LCM

The learner must tackle both theoretical and practical problems in this phase. Students are given some examples to practice what they have learned at the end of the chapter.

Benefits of NCERT Class 6 Maths Chapter 3

Here are some of the advantages of using Extramarks NCERT solutions:

  • The solutions have been written in the examination format to aid students in achieving high scores.
  • All of the questions and answers are written in simple language and very well explained with examples. 
  • Every problem has a crisp and to-the-point response that students can easily comprehend.
  • All the solutions help students to get the hang of basic Maths such as prime numbers, and prime factors to solve HCF and LCM problems which form the base in higher classes.

FAQs (Frequently Asked Questions)

The importance of comprehending factors and multiples of numbers is covered in the NCERT answer for Class 6 Maths Chapter 3. The chapter delves into several topics such as: Understanding the laws of divisibility, prime numbers, composite numbers, prime factors, LCM, HCF, common factors, and common multiples and so on.

This chapter’s unique examples will help the student to learn the concepts and principles of Maths. Understanding how each number is a factor and multiple and how prime factors multiply to generate the original number is also required. The main focus of this chapter is on HCF and LCM, which are frequently tested in the  exams.

Students can consult the NCERT Chapter 3 solutions for Class 6 Maths on Extramarks official website. The reason is that these solutions contain enough exercises and examples that aid students’ comprehension. The examples have been arranged from simple to advanced levels so that the student has no difficulty solving them. Class 6 CBSE is a chapter designed to assist students in comprehending and developing their fundamental knowledge of numbers. The solution will assist students in resolving any doubts or problems they may have regarding  numbers. 

A factor is one or more numbers that can divide a given number without leaving a remainder. For instance, 6 x 5 = 30. The elements of 30, in this case, are 6 and 5. A multiple is a number that may be divided by another number several times without leaving a residue. For instance, 3 x 5 = 15. 15 is a multiple of 3 and 5 in this case.

Class 6 Maths Chapter 3 ‘Playing With Numbers’ is vital for higher classes since it contains many topics or concepts useful in subsequent courses. It will reinforce your roots in Maths and make it easier for you to apply these concepts at higher levels if you understand topics like prime and composite numbers, factors and multiples, divisibility tests, HCF, and LCM. Subject experts recommend the Extramarks Mobile app for better understanding. 

Basic ideas are crucial for students to understand, and they should not be overlooked at any cost. There are many important topics in NCERT Class 6 Maths Chapter 3 solutions, and students should pay good attention to them. These core ideas will help you in exams and they will also help you in the next class. As a result, one should concentrate on mastering these concepts and practising them regularly. You may obtain extra study material for the same at Extramarks.