Test for divisibility by 9

 

 

For this divisibility test, go over- test for divisibility by 3. This divisibility test is similar to the divisibility test for 3.

So the divisibility test for 9 is-

The sum of digits in the number is divisible by 9.

We shall take some examples.

Have a look –

  1. The sum of digits 20,493 is
    2 + 0 + 4 + 9 + 3 = 18
    Number 18 is divisible by 9. Therefore the number 20,493 is divisible by 9.

Let’s verify –

 20493

 

 

 

 

 

 

 

The number 20,493 is completely divisible by 9 with remainder zero.

 

  1. The sum of the digits 2645 is  

2 + 6 + 4 + 5 = 17

Number 17 is not divisible by 9.

Let’s verify –

2645 

 

 

 

 

 

 

∴ 2645 is not divisible by 9.

 

Go over-

How to Test Divisibility

Test for Divisibility by 2

Test for divisibility by 3

Test for Divisibility by 4

Test for Divisibility by 5

Test for Divisibility by 6

Test for Divisibility by 9

Mathematics