Question

Using divisibility test, determine if the given number is divisible by $4$ and by$8$ :

$572$

Answer 1

Divisibility Rule of $4$

If the last two digits of a number are divisible by $4$, then that number is a multiple of $4$ and is divisible by $4$ completely.

Divisibility Rule of $8$

If the last three digits of a number are divisible by $8$, then the number is completely divisible by $8$.

Taking the given number $572$ and Considering the last two digits i.e. $72$, Clearly $72$ is divisible by $4$. So, $572$ is divisible by $4$. $\left[\because 72÷4=18\right]$

Taking the given number $572$ and Considering the last three digits i.e. $572$, Clearly $572$ is not divisible by $8$. So, $572$ is not divisible by $8$.

Hence, the given number $572$ is divisible by $4$ but not divisible by$8$.