Question
Using divisibility tests, determine if $1790184$ is divisible by $6.$
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Answer
A number is divisible by $6$, if it is divisible by $2\ \&\ 3$ both.
$i.\ $Divisibility by $2$
$\because$ Unit's digit $= 4$
$\therefore 1790184$ is divisible by $2.$
$ii.\ $Divisibility by $3$
Sum of the digits $= 1 + 7 + 9 + 0 + 1 + 8 + 4 = 30,$
which is divisible by $3$
$\therefore 1790184$ is divisible by $3$
Since, $1790184$ is divisible by $2$ and $3$ both, so it is divisible by $6.$
$i.\ $Divisibility by $2$
$\because$ Unit's digit $= 4$
$\therefore 1790184$ is divisible by $2.$
$ii.\ $Divisibility by $3$
Sum of the digits $= 1 + 7 + 9 + 0 + 1 + 8 + 4 = 30,$
which is divisible by $3$
$\therefore 1790184$ is divisible by $3$
Since, $1790184$ is divisible by $2$ and $3$ both, so it is divisible by $6.$
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