Question
Using divisibility tests, determine if the number $572$ is divisible by
$a.\ 4$$b.\ 8$
$b.\ 8$
✓
Answer
$572$
$i.$ Divisibility by $4.$The number formed by last two digits $= 72$
$4)72(18$
$ \underline {4}$
$ 32$
$ \underline{32}$
$ 0$
$\because$ Remainder is $0.$
$\therefore 72$ is divisible by $4.$
$\therefore 572$ is divisible by $4$ because a no. is divisible by $4$ if the no. formed by its last two digits $($i.e ones and tens $)$ is divisible by $4.$
$ii.$ Divisibility by $8.$
The number is $572$
$8)572(71$
$ \underline {56}$
$ 12$
$ \underline{8}$
$ 4$
$\because$ Remainder is not $0.$
$\therefore 572$ is not divisible by $8.$
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