Question
Using divisibility tests, determine if the number $5500$ is divisible by
$a.\ 4$
$b.\ 8$
$a.\ 4$
$b.\ 8$
✓
Answer
$i.$ Divisibility by $4.$
The number formed by last two digits $= 00,$ which is divisible by $4.$
$\therefore \ 5500$ is divisible by $4$ because a no. is divisible by $4$ if, no. formed by its last two digits $($ i.e ones and tens$)$ is divisible by $4.$
$ii$ Divisible by $8.$
The number formed by last three digits $= 500.$
$(8)500(62)$
$\underline {48}$
$20$
$\underline{16}$
$4$
$\because$ Remainder is not $0$
$\therefore$ $500$ is not divisible by
$\therefore$$5500$ is not divisible by $8$ because a no. is divisible by $8$ if , the no.formed by its last three digits is divisible by $8.$
The number formed by last two digits $= 00,$ which is divisible by $4.$
$\therefore \ 5500$ is divisible by $4$ because a no. is divisible by $4$ if, no. formed by its last two digits $($ i.e ones and tens$)$ is divisible by $4.$
$ii$ Divisible by $8.$
The number formed by last three digits $= 500.$
$(8)500(62)$
$\underline {48}$
$20$
$\underline{16}$
$4$
$\because$ Remainder is not $0$
$\therefore$ $500$ is not divisible by
$\therefore$$5500$ is not 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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