# NCERT Solutions For Class 6 Maths Chapter 3 Exercise 3.5

## Ncert Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.5:

**Ncert Solutions for Class 6 Maths Chapter 3 Playing with Numbers Exercise 3.5:**In this Chapter playing with numbers We learn the basics of the Numbers System In class 6 maths ncert Exercise 3.5 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 3.5 With Free Pdf Download. And We also Provide Video solutions.

Ncert Solutions for Class 6 Maths Chapter 2 Playing with Numbers Exercise 3.5 pdf:-

**Exercise 3.5**Class 6 maths NCERT solutions Chapter 3 Playing with Numbers Numbers pdf download:-

### Ncert Solution for Class 6 Maths Chapter 3 Playing Numbers Exercise 3.5 Textbook solution:-

**Some More Divisibility Rules**

Let us observe a few more rules about the divisibility of numbers.

(

i) Can you give a factor of 18? It is 9. Name a factor of 9? It is 3. Is 3 a factor

of 18? Yes, it is. Take any other factor of 18, say 6. Now, 2 is a factor of 6

and it also divides 18. Check this for the other factors of 18. Consider 24.

It is divisible by 8 and the factors of 8 i.e. 1, 2, 4 and 8 also divide 24.

So, we may say that if a number is divisible by another number then

it is divisible by each of the factors of that number.

(ii) The number 80 is divisible by 4 and 5. It is also divisible by

4 × 5 = 20, and 4 and 5 are co-primes.

Similarly, 60 is divisible by 3 and 5 which are co-primes. 60 is also divisible

by 3 × 5 = 15.

If a number is divisible by two co-prime numbers then it is divisible

by their product also.

(iii) The numbers 16 and 20 are both divisible by 4. The number 16 + 20 = 36 is

also divisible by 4. Check this for other pairs of numbers.

Try this for other common divisors of 16 and 20.

If two given numbers are divisible by a number, then their sum is

also divisible by that number.

(iv) The numbers 35 and 20 are both divisible by 5. Is their difference

35 – 20 = 15 also divisible by 5 ? Try this for other pairs of numbers also.

If two given numbers are divisible by a number, then their difference

is also divisible by that number.

Take different pairs of numbers and check the four rules given above.

**Prime Factorisation**

When a number is expressed as a product of its factors we say that the number

has been factorised. Thus, when we write 24 = 3×8, we say that 24 has been

factorised. This is one of the factorisations of 24.