Question

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

$21084$

Answer 1

Let us first know about the divisibility rule

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 $21084$ and Considering the last two digits i.e. $84$, Clearly $84$ is divisible by $4$ So, $21084$ is divisible by $4$.

Taking the given number $21084$ and Considering the last three digits i.e. $084$, Clearly $084$ is not divisible by $8$ So, $21084$ is not divisible by $8$.

Hence, the given number $21084$ is divisible by $4$ but not divisible by$8$.