Question

Test the divisibility of the following numbers by 3:

(i) 70335
(ii) 607439
(iii) 9082746

Answer 1

Rule: A number is divisible by 3 if the sum of its digits is divisible by 3.

(i) Here, the sum of the digits in the given number = 7 + 0 + 3 + 3 + 5 = 18 which is divisible by 3.
Thus, 70,335 is divisible by 3.

(ii) Here, the sum of the digits in the given number = 6 + 0 + 7 + 4 + 3 + 9 = 29 which is not divisible by 3.
Thus, 6,07,439 is not divisible by 3.


(iii) Here, the sum of the digits in the given number = 9 + 0 + 8 + 2 + 7 + 4 + 6 = 36 which is divisible by 3.
Thus, 90,82,746 is divisible by 3.