Question

What are the divisibility rule of $4$ and $8$?

Answer 1

Divisibility rule of $4$ and $8$:

Divisibility rule of $4$

A given number is divisible by $4$ if the last two digits of a whole number are divisible by $4$.

For example:$124,236,504$

Here the last two digits $24,36,04$ are divisible by$4$.

That is $\frac{24}{4}=6,\frac{36}{4}=9,\frac{04}{4}=01$

So, the entire number is divisible by$4$.

Divisibility rule of $8$

A given number is divisible by $8$ if the last three digits of a whole number is divisible by $8$.

For example $83416,52008$ etc.

Here, numbers formed by the last three digits $416,008$ respectively are divisible by $8$.

That is $\frac{416}{8}=52$ and $\frac{008}{8}=001$

So, the entire number is divisible by $8$.

Thus, a given number is divisible by $4$ if the last two digits of a whole number are divisible by $4$ and a number is divisible by $8$ if the last three digits of a whole number are divisible by$8$.