Question

Test the divisibility of $437$ by $2,3$ and $6$.

Answer 1

Divisibility rule of $2$ - A number is divisible by $2$ if its ones place digits are $0,2,4,6$ or $8$.

$437$ is not divisible by $2$ as its ones place digit is $7$.
Divisibility rule of $3$ - A number is divisible by $3$ if the sum of its digits is divisible by $3$.

$437$ is not divisible by $3$ as the sum of its digits $4+3+7=14$ which is not divisible by $3$.

Divisibility rule of $6$ - A number is divisible by $6$ if it is divisible by $2$ and $3$ both.

$437$ is not divisible by $2$ as its ones place is $7$. It is also not divisible by $3$ as $4+3+7=14$ is not divisible by $3$.
Thus, $437$ is not divisible by $6$.