Question

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

$152334$

Answer 1

$152334$ is divisible by $6$ if $2$ and $3$ both divide it.

Step 1: Finding the divisibility of $152334$ by $2$:

Since, $152334$ is an even number. Therefore it is divisible by $2$.

Step 2: Finding the divisibility of $152334$ by $3$:

The sum of digits of $152334$ is $1+5+2+3+3+4=18$ which is divisible by $3$. Therefore, $152334$ is also divisible by $3$.

Since, $152334$ is divisible by both $2$ and $3$. Therefore, $152334$ is divisible by $6$ also.

Thus, $152334$ is divisible by $6$.