Question

Using the divisibility test, determine $438750$ is divisible by $6$ or not?

Answer 1

Step 1: Explaining the divisibility test:

Divisibility of $6$: A number is divisible by $6$, when the number is divisible by both $2$ and $3$

Divisibility of $2$: A number is divisible by $2$, when the number is ending with $0,2,4,6,8$

Divisibility of $3$: A number is divisible by $3$, when the sum of the digits of the number is divisible by $3$

Step 2: Finding whether $438750$ is divisible by $6$ or not:

The given number is $438750$

$438750$ is ending with $0$, therefore $438750$ is divisible by $2$

and sum of the digits of $438750\Rightarrow 4+3+8+7+5+0=27$

$27$ is divisible by $3$, therefore $438750$ is divisible by $3$.

As, $438750$ is divisible by both $2$ and $3$.

Hence, $438750$ is divisible by $6$