Question
Using divisibility test, determine if number $901352$ is divisible by $6.$
✓
Answer
$i.\ $Divisibility by $2.$
$\because$ Unit's digit $= 2$
$\therefore$ $901352$ is divisibility by $2.$
$ii.\ $Divisibility by $3.$
Sum of the digits $= 9 + 0 + 1 + 3 + 5 + 2 = 20.$
which is not divisible by $3.$
$\therefore$ $901352$ is not divisible by $3.$
Since, $901352$ is divisible by $2$ but not by $3$, so it is not divisible by $6.$
$\because$ Unit's digit $= 2$
$\therefore$ $901352$ is divisibility by $2.$
$ii.\ $Divisibility by $3.$
Sum of the digits $= 9 + 0 + 1 + 3 + 5 + 2 = 20.$
which is not divisible by $3.$
$\therefore$ $901352$ is not divisible by $3.$
Since, $901352$ is divisible by $2$ but not by $3$, so it is not divisible by $6.$
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