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

Jul 27, 2023, 16:45 IST

In Chapter 3 Playing with Numbers you will learn Prime and Composite Numbers,Tests for Divisibility of Numbers,Common Factors and Common Multiples, Prime Factorisation, HCF and LCM. NCERT class 6 Maths text book explains all concepts very well. Questions in the exercise are sufficient to have good practice. Academci team of Physics Wallah prepared NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers with all steps required.

Suppose your collection of primes includes all the possible primes. What is your guess about the size of this collection? Does it contain only a finite number of integers, or infinitely many? Infect, there are infinitely many primes. This concept is very well explained in NCERT text book for class 6 Maths chapter-3. So, if we combine all these primes in all possible ways, we will get an infinite collection of numbers, all the primes and all possible products of primes. The question is – can we produce all the composite numbers this way? What do you think? Do you think that there may be a composite number which is not the product of powers of primes? Before we answer this, let us factorise positive integers, that is, do the opposite of what we have done so far. Find errorless NCERT Solutions for class 6 Maths check out Physics Wallah.

## In NCERT text book sub topics covered in Chapter 3 Playing with Numbers are.

1.Introduction to playing with numbers

2.Factors and Multiples

3.Prime and Composite Numbers

4.Tests for Divisibility of Numbers

5.Common Factors and Common Multiples

6.Prime Factorisation

7.HCF and LCM

### Exercise of Chapter 3 Playing with Numbers

EXERCISE 3.1 – Consist of 4 Questions

EXERCISE 3.2 - Consist of 12 Questions

EXERCISE 3.3 - Consist of 6 Questions

EXERCISE 3.4 - Consist of 7 Questions

EXERCISE 3.5 - Consist of 12 Questions

EXERCISE 3.6 - Consist of 3 Questions

EXERCISE 3.7 - Consist of 11 Questions