Question
Using divisibility tests, determine if number $438750$ is divisible by $6.$
✓
Answer
A number is divisible by $6$, if it is divisible by $2\ \&\ 3$ both.
$i.\ $Divisibility by $2.$
$\because$ Unit's digit $= 0$
$\therefore$ $438750$ is divisible by $2$.
$ii.\ $Divisibility by $3.$
Sum of the digits $= 4 + 3 + 8 + 7 + 5 + 0 = 27,$
which is divisible by $3$
$\therefore$ $438750$ is divisible by $3$
Since, $438750$ is divisible by $2$ and $3$ both, so it is divisible by $6.$
$i.\ $Divisibility by $2.$
$\because$ Unit's digit $= 0$
$\therefore$ $438750$ is divisible by $2$.
$ii.\ $Divisibility by $3.$
Sum of the digits $= 4 + 3 + 8 + 7 + 5 + 0 = 27,$
which is divisible by $3$
$\therefore$ $438750$ is divisible by $3$
Since, $438750$ is divisible by $2$ and $3$ both, so it is divisible by $6.$
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