# NCERT Solutions for Class 6 Maths Chapter 3

## NCERT Solutions for Class 6 Maths Chapter 3 - Playing with Numbers Upon reaching the 6th standard, students are introduced to the NCERT Solutions for Class 6 Maths Chapter 3 syllabus, which is quite variant and includes different topics. The third chapter among the Maths syllabus, Playing with Numbers, particularly focuses on teaching students about multiples and divisors.

As the chapter progresses, the students are introduced to topics such as common factors and multiples, divisibility rules, highest common factors, lowest common factors, etc. A proper comprehension of the chapter will enable students to understand prime and composite numbers, as well as their difference.

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### NCERT Class 6 Maths Chapter 3 – Free PDF

With the help of NCERT solutions for Class 6 Maths Chapter 3, the student is able to prepare for their examinations with ease. Various solved examples provided here, help students understand how they are to proceed with the calculation for these sums. Also, they allow students to grasp this basic knowledge that will prove to be useful in the later years.

You can download a free PDF of Class 6 Maths Chapter 3 available on this page below. It helps you to understand the prime role that different numbers and their multiples play in solving an equation. Formulas used and applied in this chapter are primary equations that will later be useful when the student moves forward to solve more complex equations.

• ### Exercise 3.1 – Introduction

Purpose of this introduction is to provide students with the basic knowledge of what can be classified as a divisor and what is a factor. This part is what the entire chapter is mostly based on.

• ### Exercise 3.2 – Factors and Multiples

NCERT solutions for Class 6th Maths Chapter 3 – Playing with Numbers, then moves on to the first set of exercises that asks students to spot multiples and factors. It also states that every number is a multiple and factor of itself.

• ### Exercise 3.3 – Prime and Composite Numbers

This section of the chapter elaborates on which numbers can be defined as prime numbers and which as composite numbers. Segment also specifies how 2 is the smallest of all the prime numbers, and 1 can neither be a composite nor a prime number.

• ### Exercise 3.4 – Tests for Divisibility of Numbers

Main focus of this part of Chapter 3 in NCERT Maths book Class 6 is to make students understand which numbers are divisible by 10, 5, 2, 3 6, 4, 8 9, and 11. Learn more about how this divisibility test is helpful.

• ### Exercise 3.5 – Common Factors and Common Multiples

Understanding common multiples and common factors are mandatory for gaining a grasp over the subject-matter of numbers. Focus of this exercise is to teach how certain numbers are the multiple and factor of more than one number.

• ### Exercise 3.6 – Some More Divisibility Rules

There are certain divisibility rules that the student will need to know to gain a proper grasp over the subject of factors and multiples. Refer to Chapter 3 solutions from NCERT to gain more detailed knowledge on the topic.

• ### Exercise 3.7 – Prime Factorization

This section of the NCERT Class 6 Maths Chapter 3 talks about prime factors and how which number when multiplied forms the original number. Learn about prime factor number play in this segment.

• ### Exercise 3.8 – Highest Common Factor

HCF or highest common factors is an important part that students are required to concentrate on. The reason for that being that this section is where most examination questions are derived from.

• ### Exercise 3.9 – Lowest Common Factor

LCF or Lowest Common Factor also tends to be preferred by teachers to be included in examinations. Calculation process of the LCF is quite simple once the students understand the equations and how they are framed.

• ### Exercise 3.10 – Problems of HCF and LCM

This section comprises theory and practical problems for the student to solve. At the end of the chapter, students are provided with a brief revision of the entire topic.

### Benefits of NCERT Class 6 Maths Chapter 3

Benefits of availing Class 6 Maths Chapter 3 solutions from Vedantu have been listed below -

• The solutions have been constructed as per examination format to assist students in scoring well.

• All questions and solutions are written in simple language.

• Solutions to every question are precise and to the point.

• All solutions are informative and effective in helping students score well.

With the help of the Class 6th Maths, Chapter 3 offered by Vedantu, students can now aim for excellence in their examinations.

Q1. What is there in NCERT class 6 Maths Chapter 3?

Ans: The NCERT solution for Class 6 Maths Chapter 3 covers the importance of understanding the factors and multiples of numbers. The chapter elaborates different aspects of the subject matter. This includes various examples such as understanding the laws of divisibility, prime numbers, composite numbers, prime factors, LCM, HCF, common factors and common multiples.

The unique examples present in this chapter will allow the student to get a better grasp over numbers. Understanding how every number is a factor and multiple is also necessary as well as how prime factors when multiplied form the original number. The main highlight of this chapter is HCF and LCM, questions on which mostly appear in examinations.

Q2. Why avail the Chapter 3 Maths Class 6 NCERT Solutions?

Ans: The Class 6 Maths NCERT Chapter 3 solutions available on Vedantu should be referred by students. The reason for that is that these solutions consist of to-the-point answers that help students understand better. The examples have been framed from simple to advanced so that the student doesn’t face problems while understanding them.

Playing with NumbersClass 6 CBSE is a chapter that has been constructed to help students focus their minds on understanding and developing their basic knowledge of numbers. The solution will help the student to clear their doubt related to the subject of numbers. Understand your numbers without any problem with solutions framed by Vedantu that help you clear your examinations without any problems.

Q3. What is the difference between Factors and Multiples?

Ans: One or more numbers that can divide a certain number without leaving a remainder is called a factor. For example 6 x 5 = 30. Here, 6 and 5 are the factors of 30. A multiple is a number that may be divided by another number without leaving a remainder in a specified number of times. For example: 3 x 5= 15. Here, 15 is a multiple of 3 and 5.

Q4. Explain Prime and Composite numbers?

Ans: A prime number is a whole number that comprises only two divisors, which are 1 and itself. For example 2, 3, 5, 7, 11, 13, etc. (1 is not a prime number because it has only one divisor). A composite number is a whole number that comprises two or more divisors.

For example:

4 = 1,2 and 4 are the divisors.

10= 1, 2, 5, and 10 are the divisors.

Q5. Why is Class 6 Maths Chapter 3 important for higher studies?

Ans: Class 6 Maths Chapter 3 'Playing With Numbers' is crucial for higher classes since it contains various key topics or concepts that are important for future classes. If you master the topics like prime and composite numbers, factors and multiples, divisibility tests, HCF, and LCM, it will strengthen your roots in Maths and will make it easy for you to apply these concepts at higher levels. For better understanding, utilise the Vedantu Mobile app. The solutions provided are free of cost.

Q6. How can I improve the basic concepts of Chapter 3?

Ans: Strengthening basic concepts is critical for students, and they should not overlook them at any cost. Chapter 3 of Class 6 Maths is overflowing with topics and students should pay close attention. These fundamental concepts will benefit you not only this year but also in future classes. Hence, one should focus on grasping these topics and practising them regularly. You can visit Vedantu and get more study materials for the same.

Q7. How many exercises are there in Chapter 3?

Ans: There is a total of 10 exercises in Class 6 Maths Chapter 3:

• ### 3.10 – Problems of HCF and LCM. SHARE TWEET SHARE SUBSCRIBE