Question
Using divisibility tests, determine if the no.$14560$ is divisible by
$a.\ 4$
$b.\ 8$
$a.\ 4$
$b.\ 8$
✓
Answer
$i.$ Divisibility by $4.$
The number formed by last two digits $= 60.$
$4)60(15$
$\underline {4}$
$20$
$\underline{20}$
$0$
$\because$ Remainder is $0.$
$\therefore$ $60$ is divisible by $4.$
$\therefore$ $14560$ is 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 $= 560$
$8)560(70$
$\underline {56}$
$0$
$\underline{0}$
$0$
$\because$ Remainder is $0.$
$\therefore$ $560$ is divisible by $8.$
$\therefore$ $14560$ is divisible by $8$ because a no. is divisible by $8$ if the no.
formed by its last three digits is divisible by $8.$
The number formed by last two digits $= 60.$
$4)60(15$
$\underline {4}$
$20$
$\underline{20}$
$0$
$\because$ Remainder is $0.$
$\therefore$ $60$ is divisible by $4.$
$\therefore$ $14560$ is 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 $= 560$
$8)560(70$
$\underline {56}$
$0$
$\underline{0}$
$0$
$\because$ Remainder is $0.$
$\therefore$ $560$ is divisible by $8.$
$\therefore$ $14560$ is divisible by $8$ because a no. is divisible by $8$ if the no.
formed by its last three digits is divisible by $8.$
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