Algebra Den

Divisibility Principle of 9

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.