Gujarat BoardEnglish MediumSTD 6MATHSPlaying With Numbers2 Marks
Question
Using divisibility test, determine if number $4335$ 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 $= 5$, which is not any of the digits from $0, 2, 4, 6$ or $8.$
$\therefore$ $4335$ is not divisible by $2.$
$ii.\ $Divisibility by $3$
Sum of the digits $4 + 3 + 3 + 5 = 15$ which is divisible by $3.$
So $4335$ is also divisible by $3.$
$\therefore$ $4335$ is not divisible by $6$ because it is divisible by $3$ but not by $2.$
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