Question

Using the divisibility test, determine $1258$ 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 $1258$ is divisible by $6$ or not

The given number is $1258$

$1258$ is ending with $8$, therefore $1258$ is divisible by $2$

Sum of the digits of $1258\Rightarrow 1+2+5+8=16$

$16$ is not divisible by $3$, therefore $1258$ is not divisible by $3$.

As, $1258$ is divisible by $2$ but not by $3$.

Hence, $1258$ is not divisible by $6$