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Divisibility Guidelines for 9 and Some Examples

Why is it useful to know the divisibility of a number?  It allows us to determine whether a number is divisible by another number without having to divide them. In this post, we are going to learn the divisibility guidelines for 9.

DivisibilityCriteria for divisibility by 9:  

A number is divisible by 9 if the sum of its digits is 9 or a multiple of 9. 

For example:

is 2610 divisible by 9?

In order to find out we add its digits:


Therefore 2610 is divisible by 9.

Another example:

is 965 divisible by 9?

We add all the digits:


Since 20 is not divisible by 9, then 965 is not divisible by 9.

To keep learning:

Divisibility guidelines for:

If this explanation has helped you, share it with your friends on Facebook, Twitter, or via email so that they can also learn when a number is divisible by 9.

And if you want to learn more elementary math, try Smartick for free!

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Diane Ackerman
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