Question

By which of the following numbers is 364 divisible?

• A. 7
• B. 6
• C. 3
• D. 9

Answer 1

The correct option is A 7

To check divisibility by 7, we find 2a + 3b + c
So, for 364
a = 3, b = 6 and c = 4
$2\times 3$ + $3\times 6$ + 4 = 6 + 18 + 4 = 28
28 is divisible by 7
$\therefore$ 364 is divisible by 7.

364 is not divisible by 3 and 9 because the sum 3 + 6 + 4 = 13
and 13 is not divisible by 3 or 9.

364 is also divisible by 2 as it is an even number.
364 is not divisible by 6 as it divisible by 2 but not by 3.

$\therefore$ 364 is divisible by 7.