Question
Using divisibility test, determine if number $1258$ is divisible by $6$

Answer

 
A number is divisible by $6$, if it is divisible by $2$ and $3$ both.
$i.\ $Divisibility by $2.$
$\because$ Unit's digit $= 8.$
$\therefore$ $1258$ is divisible by $2.$
$ii.\ $Divisibility by $3.$
Sum of the digits $= 1 + 2 + 5 + 8 = 16,$
which is not divisible by $3.$
Since, $1258$ is divisible by $2$ but not by $3,$
so $1258$ is not divisible by $6.$
 

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