Question

Using the divisibility test, determine $5500$ is divisible by $4$, by $8$ or not?

Answer 1

Step $1:$ Explaining the divisibility test:

Divisibility test of $4$: A number is divisible by $4$, when the last two digits of the number is divisible by $4$

Divisibility test of $8$: A number is divisible by $8$, when the last three digits of the number is divisible by $8$

Step $2$: Finding whether $5500$ is divisible by $4$, by $8$ or not

The given number is $5500$

Last two digits in $5500$ is $00$

Clearly, $00$$÷4=$$0$

Thus, $00$ is divisible by $4$, therefore $5500$ is divisible by $4$

Last three digits in $5500$ is $500$

Clearly, $500$$÷8=$$62.5$

Thus, $500$ is not divisible by $8$, therefore $5500$ is not divisible by $8$

Hence, $5500$ is divisible by $4$ but not by $8$