Question

Test the divisibility of the following numbers by $6$:

$215370$

Answer 1

Checking the divisibility by $6$:

We know that, a number is divisible by $6$, if it is divisible by both $2$ and $3$.

In other words we can say that, a number is divisible by $6$, if it is an even number and divisible by $3$

The given number is $215370$

First we check the divisibility of $2$

Here, unit place is $0$, so we say the number is divisible by $2$.

Now, check the divisibility of $3$

Sum of digit is $2+1+5+3+7+0=18$

$18$ is divisible by $3$

Here, sum of digit is divisible by $3$ so the number also divisible by $3$

$215370$ is divisible by both $2$ and $3$.

Hence, the number $215370$ is divisible by $6$.$\mathrm{}$