# Divisibility rule for 9

### 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