Question

Using the divisibility test, determine $337822$ is divisible by $6$ or not?

Answer 1

Step $1:$ Explaining the divisibility test

Divisibility test of $6$: A number is divisible by $6$, if it 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 $2$: Checking the divisibility by $6$:

$337822$ is ending with $2$, therefore $337822$ is divisible by $2$

Sum of the digits of $337822\Rightarrow 3+3+7+8+2+2=25$

$25$ is not divisible by $3$, therefore $337822$ is not divisible by $3$.

Hence, $337822$ is divisible by $2$ and not by $3$.

Hence, $337822$ is not divisible by $6$.