## Ncert Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.6:

**Ncert Solutions for Class 6 Maths Chapter 3 Playing with Numbers Exercise 3.6:Ā**In this Chapter playing with numbers We learn the basics of the Numbers System In class 6 maths ncert Exercise 3.6 Solutions. This Chapter Playing with Numbers is very important for Class 6 maths Students to get a High Score in their Exam. And we help the Class 6 Students to Achieve Their Dream By providing Class 6 Maths Ncert Solutions Chapter 3 Playing with Numbers Exercise 3.6 With Free Pdf Download. And We also Provide Video solutions.

### Ncert Solutions for Class 6 Maths Chapter 2 Playing with Numbers Exercise 3.6 pdf:-

**Exercise 3.6**Ā Class 6 maths NCERT solutions Chapter 3 Playing with Numbers Numbers pdf download:-

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### Ncert Solution for Class 6 Maths Chapter 3 PlayingĀ Numbers Exercise 3.6 Tips:-

**Highest Common Factor**

We can find the common factors of any two numbers. We now try to find the

highest of these common factors.

What are the common factors of 12 and 16? They are 1, 2 and 4.

What is the highest of these common factors? It is 4.

What are the common factors of 20, 28 and 36? They are 1, 2 and 4 and

again 4 is the highest of these common factors.

The Highest Common Factor

(HCF) of two or more given

numbers are the highest (or

greatest) of their common factors.

It is also known as Greatest Common

Divisor (GCD).

**What have we discussed?**

1. We have discussed multiples, divisors, factors and have seen how to identify factors

and multiples.

2. We have discussed and discovered the following :

(a) A factor of a number is an exact divisor of that number.

(b) Every number is a factor of itself. 1 is a factor of every number.

(c) Every factor of a number is less than or equal to the given number.

(d) Every number is a multiple of each of its factors.

(e) Every multiple of a given number is greater than or equal to that number.

(f) Every number is a multiple of itself.

3. We have learnt that ā

(a) The number other than 1, with only factors namely 1 and the number itself, is a

prime number. Numbers that have more than two factors are called composite

numbers. Number 1 is neither prime nor composite.

(b) The number 2 is the smallest prime number and is even. Every prime number other

than 2 is odd.

(c) Two numbers with only 1 as a common factor are called co-prime numbers.

(d) If a number is divisible by another number then it is divisible by each of the factors

of that number.

(e) A number divisible by two co-prime numbers is divisible by their product also.

4. We have discussed how we can find just by looking at a number, whether it is divisible

by small numbers 2,3,4,5,8,9 and 11. We have explored the relationship between

digits of the numbers and their divisibility by different numbers.

(a) Divisibility by 2,5 and 10 can be seen by just the last digit.

(b) Divisibility by 3 and 9 is checked by finding the sum of all digits.

(c) Divisibility by 4 and 8 is checked by the last 2 and 3 digits respectively.

(d) Divisibility of 11 is checked by comparing the sum of digits at odd and even

places.

5. We have discovered that if two numbers are divisible by a number then their

sum and difference are also divisible by that number.

6. We have learnt that ā

(a) The Highest Common Factor (HCF) of two or more given numbers is the highest

of their common factors.

(b) The Lowest Common Multiple (LCM) of two or more given numbers is the lowest

of their common multiples.