Question

Using divisibility test, determine whether the given number is divisible by 6:
297144

Answer 1

Divisibility rule for 6: If a number is divisible by 2 and 3 both, then it is divisible by 6 also.

Applying the above divisibility rule, we get,

297144 $\to$ Divisible by 2 as its units place is an even number.
297144 $\to$ Divisible by 3 as the sum of its digits (= 27) is divisible by 3.
Since the number is divisible by both 2 and 3, therefore, it is also divisible by 6.