## DIVISIBILITY BY 9

Divisibility by 9 :

Here we can see the ticks and shortcut to identify whether the given number is divisible by 9 or not.

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

For example let us take the number 432, sum of the digits 4 + 3 + 2 = 9.

Since the sum of the digits is divisible by 9, we can say that 432 is divisible 9.

By practicing these kind of questions, we can easily test whether the given number is divisible by 9 or not without using calculator.

Example 1 :

Test whether 9477 is divisible by 8 ?

Solution :

Here sum of the digits of the given number 9 + 4 + 7 + 7 is "27" which is divisible by 9 .

 Hence, the given number 9477 is divisible by 9. Example 2 :

Test whether 998 is divisible by 8 ?

Solution :

Here sum of the digits of the given number 9 + 9 + 8 is "26" which is not divisible by 9 .

 Hence, the given number 998 is not divisible by 9. Example 3 :

Test whether 3645 is divisible by 9 ?

Solution :

Here sum of the digits of the given number 3 + 6 + 4 + 5 is "18" which is divisible by 9 .

 Hence, the given number 3645 is divisible by 9. Example 4 :

Test whether 948 is divisible by 9 ?

Solution :

Here sum of the digits of the given number 9 + 4 + 8 is "21" which is divisible by 9 . So the whole number is divisible by 9.

Here the sum of the digit 21 is not divisible by 9.So, we can say it is not divisible by 9.

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