Question
Using divisibility tests, determine if the number $6000$ 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 $4$
$\therefore 6000$ 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 $4.$
$(ii)$ Divisibility by $8.$
The number formed by last three digits $= 000,$
which is divisible by $8.$
$\therefore 6000$ 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 $= 00,$
which is divisible by $4$
$\therefore 6000$ 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 $4.$
$(ii)$ Divisibility by $8.$
The number formed by last three digits $= 000,$
which is divisible by $8.$
$\therefore 6000$ 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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