Question

Using the divisibility test, determine $639210$ is divisible by $6$ or not?

Answer 1

Step 1: Explaining the divisibility test

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

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

Divisibility test 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 $639210$ is divisible by $6$ or not

The given number is $639210$

$639210$ is ending with $0$, therefore $639210$ is divisible by $2$

Sum of the digits of $639210\Rightarrow 6+3+9+2+1+0=21$

$21$ is divisible by $3$, therefore $639210$ is divisible by $3$.

As, $639210$ is divisible by both $2$ and $3$.

Hence, $639210$ is divisible by $6$