Question

Test the divisibility of the following numbers by 9:

(i) 187245
(ii) 3478
(iii) 547218

Answer 1

Rule: A number is divisible by 9 if the sum of its digits is divisible by 9.

(i) The given number = 187245
The sum of the digits in the given number = 1 + 8 + 7 + 2 + 4 + 5 = 27 which is divisible by 9.
Therefore, 1,87,245 is divisible by 9.

(ii) The given number = 3478
The sum of the digits in the given number = 3 + 4 + 7 + 8 = 22 which is not divisible by 9.
Therefore, 3,478 is not divisible by 9.

(iii) The given number = 547218
The sum of the digits in the given number = 5 + 4 + 7 + 2 + 1 + 8 = 27 which is divisible by 9.
Therefore, 5,47,218 is divisible by 9.