### Divisibility rule for 9 – Video Explanation

**Problem 1 – Divisibility rule for 9**

Check whether 24597 is divisible by 9?

**a) Yes**

b) No

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.

In, 24597

Sum of its digits = 2 + 4 + 5 + 9 + 7 = 27

and 27 is divisible by 9

So, 24597 is also divisible by 9

**Problem 2 – Divisibility rule for 9**

Check whether 32183 is divisible by 9?

a) Yes

**b) No**

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.

In, 32183

Sum of its digits = 3 + 2 + 1 + 8 + 3 = 17

and 17 is not divisible by 9

So, 32183 is not divisible by 9

**Problem 3 – Divisibility rule for 9**

Check whether 35425 is divisible by 9?

a) Yes

**b) No**

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.

In, 35425

Sum of its digits = 3 + 5 + 4 + 2 + 5 = 19

and 19 is not divisible by 9

So, 35425 is not divisible by 9

**Problem 4 – Divisibility rule for 9**

Check whether 65869 is divisible by 9?

a) Yes

**b) No**

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.

In, 65869

Sum of its digits = 6 + 5 + 8 + 6 + 9 = 34

and 34 is not divisible by 9

So, 65869 is not divisible by 9

**Problem 5 – Divisibility rule for 9**

Check whether 85624 is divisible by 9?

a) Yes

**b) No**

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.

In, 85624

Sum of its digits = 8 + 5 + 6 + 2 + 4 = 25

and 25 is not divisible by 9

So, 85624 is not divisible by 9

**Problem 6 – Divisibility rule for 9**

Check whether 52173 is divisible by 9?

**a) Yes**

b) No

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.

In, 52173

Sum of its digits = 5 + 2 + 1 + 7 + 3 = 18

and 18 is divisible by 9

So, 52173 is also divisible by 9