Question
Using divisibility tests, determine if the number $12159$ is divisible by
$a.\ 4$
$b.\ 8$
$a.\ 4$
$b.\ 8$
✓
Answer
$i.$ Divisibility by $4$
The number formed by last two digit $= 59$
$(4)59(14)$
$\underline {4}$
$19$
$\underline{16}$
$3$
$\because$ Remainder is not $0$
$\therefore$ $59$ is not divisible by $4.$
$\therefore$ $12159$ is not divisible by $4$ because a no. is divisible by $4$ only if its last two digits are divisible by $4.$
$i.$ Divisible by $8$
The number formed by last three digits $= 159$.
$(8)159(19)$
$\underline {8}$
$79$
$\underline{72}$
$7$
$\because$ Remainder is not $0$
$\therefore$ $159$ is not divisible by $8.$
$\therefore$ $12159$ is not divisible by $8$ because a no. is divisible by $8$ only if its last three digits are divisible by $8$.
The number formed by last two digit $= 59$
$(4)59(14)$
$\underline {4}$
$19$
$\underline{16}$
$3$
$\because$ Remainder is not $0$
$\therefore$ $59$ is not divisible by $4.$
$\therefore$ $12159$ is not divisible by $4$ because a no. is divisible by $4$ only if its last two digits are divisible by $4.$
$i.$ Divisible by $8$
The number formed by last three digits $= 159$.
$(8)159(19)$
$\underline {8}$
$79$
$\underline{72}$
$7$
$\because$ Remainder is not $0$
$\therefore$ $159$ is not divisible by $8.$
$\therefore$ $12159$ is not divisible by $8$ because a no. is divisible by $8$ only if its last three digits are divisible by $8$.
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