Divisibility Rule by 9

If the sum of all digits of a given umber is multiple of 9 or is exactly divisible by 9 then we can say that the given number is divisible by 9.

Let’s take an example to understand this point more clearly.

Example - Is 1836 divisible by 9?

Solution -

Let's sum the all digits i.e. 1 + 8 + 3 + 6 = 18.

Now we all know that 18 is divisible by 9 right? Hence 1836 is divisible 9.

 

Example - Is 2861 divisible by 9?

Let's sum the all digits i.e. 2 + 8 + 6 + 1 = 17.

Now we all know that 17 is not divisible by 9 right? Hence 2861 is not divisible 9.

 

Point to be noted: It can be further added too.

Example - Is 5426739 divisible by 3?

Let's sum the all digits i.e. 5 + 4 + 2 + 6 + 7 + 3 + 9 = 36 = 3 + 6 = 9

Now we all know that 9 is divisible by 9 right? Hence 5426739 is divisible 9.

So to add further is easier to know whether the number is divisible by 9 or not.

 

Do it by your self

Which of the following numbers are divisible by 9?

78451, 65844, 5694, 698754, 95356

 

Solution:

81624 -8 + 1 + 6 + 2 + 4 = 21 = 2 + 1 = 3 hence not divisible by 9

72963 - 7 + 2 + 9 + 6 + 3 = 27 = 2 + 7 = 9 hence divisible by 9

92376 - 9 + 2 + 3 + 7 + 6 = 27 = 2 + 7 = 9 hence divisible by 9

698765 - 6 + 9 + 8 + 7 + 6 + 5 = 41 = 4 + 1 = 5 hence not divisible by 9

95356 - 9 + 5 + 3 + 5 + 6 = 28 = 2 + 8 = 10 hence not divisible by 9

 

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