Question
Using divisibility tests, determine if number $61233$ is divisible by $6.$
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Answer
A number is divisible by $6,$ if it is divisible by $2\ \&\ 3$ both.
Divisibility by $2$
$\because$ Unit's digit $= 3,$ which is not any of the digits from $0, 2, 4, 6$ or $8.$
$\therefore 61233$ is not divisible by $2.$
$\therefore 61233$ is not divisible by $6$ because a no . is divisible by $6$ only if it is divisible by $2$ and $3$ both.
Divisibility by $2$
$\because$ Unit's digit $= 3,$ which is not any of the digits from $0, 2, 4, 6$ or $8.$
$\therefore 61233$ is not divisible by $2.$
$\therefore 61233$ is not divisible by $6$ because a no . is divisible by $6$ only if it is divisible by $2$ and $3$ both.
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