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Home >> Divisibility Principles >> Divisibility Principle of 9 >>

Divisibility Principle of 9

Divisibility Principle of 10 Divisibility Principle of 11 Divisibility Principles of 2 Divisibility Principle of 3 Divisibility Principle of 4
Divisibility Principle of 5 Divisibility Principle of 6 Divisibility Principle of 8 Divisibility Principle of 9 More Divisibility Rules

Definition :-
Divisibility Principle of 9 is a two step process:-
Step.1) = Add all the digits of the given number.
Step.2) = If the added resultant number is the multiple of 9, then the given number is also divisible by 9 and vice-versa.
In Simple words, if the sum of the digits of the given number is a divisible by 9, then the given number is also divisible by 9.

Lets try some examples also to learn The Divisibility Principle of 9 :-

Example 1 = Is 54 divisible by 9 ?
Answer = On adding the digits of the given num, we get,
5 + 4 = 9
Since 9 is divisible by 9. so we can say, the given number 54 is also divisible by 9.

Example 2 = Is 79 divisible by 9 ?
Answer = On adding the digits of the given num, we get,
7 + 9 = 16
Since 16 is not divisible by 9. so we can say, the given number 79 is also not divisible by 9.

Example 3 = Is 909 divisible by 9 ?
Answer = On, adding the digits of the given num, we get,
9 + 0 + 9 = 18
Since 18 is divisible by 9. so we can say, the given number 909 is also divisible by 9.

Example 4 = Is 245 divisible by 9 ?
Answer = On, adding the digits of the given num, we get,
2 + 4 + 5 = 11
Since 11 is not divisible by 9. so we can say, the given number 245 is also not divisible by 9.

Example 5 = Is 6381 divisible by 9 ?
Answer = On, adding the digits of the given num, we get,
6 + 3 + 8 + 1 = 18
Since 18 is divisible by 9. so we can say, the given number 6381 is divisible by 9.

Example 6 = Is 8017 divisible by 9 ?
Answer = On, adding the digits of the given num, we get,
8 + 0 + 1 + 7 = 16
Since 16 is not divisible by 9. so we can say, the given number 8017 is also not divisible by 9.




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