Question
Using divisibility tests, determine if the number $726352$ is divisible by
$a.\ 4$
$b.\ 8$
$a.\ 4$
$b.\ 8$
✓
Answer
$a.$ Divisibility by $4$
The number formed by last two digits $= 52$
$4)52(13$
$\underline {4}$
$12$
$\underline{12}$
$0$
$\because$ Remainder is $0$
$\therefore$ $52$ is divisible by $4$
$\therefore 726352$ 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 $4$
$b.$ Divisibility by $8.$
The number formed by last three digits $= 352$
$8)352(44$
$\underline {32}$
$32$
$\underline{32}$
$0$
$\because$ Remainder is $0$
$\therefore$ $352$ is divisible by $8.$
$\therefore$ $726352$ is divisible by $8$ because a no. with four or more digits is divisible by $8$ if the no. formed by its last three digits is divisible by $8.$
The number formed by last two digits $= 52$
$4)52(13$
$\underline {4}$
$12$
$\underline{12}$
$0$
$\because$ Remainder is $0$
$\therefore$ $52$ is divisible by $4$
$\therefore 726352$ 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 $4$
$b.$ Divisibility by $8.$
The number formed by last three digits $= 352$
$8)352(44$
$\underline {32}$
$32$
$\underline{32}$
$0$
$\because$ Remainder is $0$
$\therefore$ $352$ is divisible by $8.$
$\therefore$ $726352$ is divisible by $8$ because a no. with four or more digits is divisible by $8$ if the no. formed by its last three digits is divisible by $8.$
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