Question

Check whether the given numbers are divisible by $8$ or not ?
(a) $4808$ (b) $1324$ (c) $1000$ (d) $76728$

Answer 1

If the last three digits of a whole number are divisible by $8$, then the entire number is divisible by $8$.
Above Rule can be applied as:

(a) $4808\Rightarrow$ Last $3$ digits are $808$ and $808$ is divisible by $8$ $(\because 808=8\times 101)$
Therefore, the number is divisible by $8$.
(b) $1324\Rightarrow$ Last $3$ digits are $324$ and $324$ is not divisible by $8(\because \frac{324}{8}=40.5)$
Therefore, the number is $NOT$ divisible by $8$.
(c) $1000\Rightarrow$ Last $3$ digits are $000$ or $0$ and $0$ is divisible by $8$ $(\because 0=8\times 0)$
Therefore, the number is divisible by $8$.
(d) $76728\Rightarrow$ Last $3$ digits are $728$ and $728$ is divisible by $8$ $(\because 728=8\times 91)$
Therefore, the number is divisible by $8$.