Question

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

$5500$

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 $5500$ and considering the last two digits i.e. $00$, clearly $00$ is divisible by $4$ so, $5500$ is divisible by $4$.

Taking the given number $5500$ and considering the last three digits i.e. $500$, clearly $500$ is not divisible by $8$ so, $5500$ is not divisible by $8$.

Hence, the given number $5500$ is divisible by $4$ but not divisible by$8$.