Question
Using divisibility tests, determine if the number $2150$ is divisible by
$a.\ 4$
$b.\ 8$
$a.\ 4$
$b.\ 8$
✓
Answer
$i.$ Divisibility by $4.$
The number formed by last two digits $= 50$
$4)50(12$
$\underline {4}$
$10$
$\underline{8}$
$2$
$\because$ Remainder is not $0.$
$\therefore$ $50$ is not divisible by $4.$
$\therefore$ $2150$ is not divisible by $4$ because a no. is divisible by $4$ only if the no. formed by its last two digits $($i.e ones and tens $)$ is divisible by $4.$
$ii.$ Divisibility by $8.$
The number formed by last three digits $= 150$
$8)150(18$
$\underline {8}$
$70$
$\underline{64}$
$6$
$\because$ Remainder is not $0.$
$\therefore$ $150$ is not divisible by $8.$
$\therefore$ $2150$ is not divisible by $8$ because a no. is divisible by $8$ only if the no. formed by its last three digits is divisible by $8.$
The number formed by last two digits $= 50$
$4)50(12$
$\underline {4}$
$10$
$\underline{8}$
$2$
$\because$ Remainder is not $0.$
$\therefore$ $50$ is not divisible by $4.$
$\therefore$ $2150$ is not divisible by $4$ because a no. is divisible by $4$ only if the no. formed by its last two digits $($i.e ones and tens $)$ is divisible by $4.$
$ii.$ Divisibility by $8.$
The number formed by last three digits $= 150$
$8)150(18$
$\underline {8}$
$70$
$\underline{64}$
$6$
$\because$ Remainder is not $0.$
$\therefore$ $150$ is not divisible by $8.$
$\therefore$ $2150$ is not divisible by $8$ because a no. is divisible by $8$ only if the no. formed by its last three digits is divisible by $8.$
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