Question

Using the divisibility test, determine $14560$ 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 $14560$ is divisible by $4$, by $8$ or not

The given number is $14560$

Last two digits in $14560$ is $60$

Clearly, $60$$÷4=$$15$

Thus, $60$ is divisible by $4$, therefore $14560$ is divisible by $4$

Last three digits in $14560$ is $560$

Clearly, $560$$÷8=$$70$

Clearly, $560$ is divisible by $8$, therefore $14560$ is divisible by $8$

Hence, $14560$ is divisible by both $4$ and $8$