Divisibility rule for 9 explained

Do you know how to find the numbers which are divisible by 9. Yes by learning divisibility rule for 9 we can say which numbers are divisible by 9.

divisibility rule for 9

By actual division process we can say whether the number is divisible or not divisible by 9. This is regular method we generally use but the main problem in this method is it consumes more time. So avoid this regular method. Learn divisibility rules and do your calculations fast. Now I will explain divisibility rule for the number 9.

Below given is the Divisibility rule for 9:

The divisibility rule for 9 is given as “If the sum of the digits of a given number is divisible by the number 9 then we say the entire number is divisible by 9”. We can also say the number which is divisible by 3 is also divisible by 9.

Example:

Check the number 6588 is divisible by 9 or not?

Solution:

               Add all the digits in the given number and find the result.

               6 + 5 + 8 + 8 =27

               As 27 is divisible by 9 so we say the number 6588 is also divisible by 9.

  Is the number 26598 is divisible by 9 or not?

Solution:

               Find the sum of the all the digits in the given number.

               2 + 6 + 5 + 9 + 8 = 30

               As 30 is not divisible by 9 so the number 26598 is not divisible by 9.

  The number 568974 is divisible by 9 or not?

Solution:

               The first step is finding sum of the digits.

               Sum of digits 5, 6, 8, 9, 7, 4 is 39.

               39 is not divisible by 9.

               So 568974 is not divisible by 9.

Hope you understood divisibility rule of 9 very well. One thing you remember divisibility rule of 3 and divisibility rule of 9 is same.

Also Read:

Divisibility rule for 4

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