What are the factors of 108?

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What are the factors of 108?

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Answer 1 · 2016-11-18T05:41:06

Factors of $108$ $108$ are ${1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 108}$ ${1,2,3,4,6,9,12,18,27,36,108}$

Explanation:

As the unit digit in $108$ $108$ is $8$ $8$ , it is divisible by $2$ $2$ and as last two digits are $08$ $08$ it is also divisible by $4$ $4$ . Sum of the digits of $108$ $108$ is $9$ $9$ , hence it is divisible by $3$ $3$ and $9$ $9$ . And as it is divisible by $2$ $2$ and $3$ $3$ , it is also divisible by $6$ $6$

Let us write these numbers starting from $1$ $1$ in increasing order in a column and then against them, let us write the dividend obtained by dividing $108$ $108$ by these numbers.

The result is as follows:

$N u m b e r X X X X X X D i v i d e n d$ $Numbercolor(white)(XXXXXX)Dividend$

$X X 1 X X X X X X X X X X 108$ $color(white)(XX)1color(white)(XXXXXXXXXX)108$
$X X 2 X X X X X X X X X X 54$ $color(white)(XX)2color(white)(XXXXXXXXXX)54$
$X X 3 X X X X X X X X X X 36$ $color(white)(XX)3color(white)(XXXXXXXXXX)36$
$X X 4 X X X X X X X X X X 27$ $color(white)(XX)4color(white)(XXXXXXXXXX)27$
$X X 6 X X X X X X X X X X 18$ $color(white)(XX)6color(white)(XXXXXXXXXX)18$
$X X 9 X X X X X X X X X X 12$ $color(white)(XX)9color(white)(XXXXXXXXXX)12$

As there is no number between $9$ $9$ and $12$ $12$ that divides $108$ $108$ , we stop here.

Hence, factors of $108$ $108$ are ${1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 108}$ ${1,2,3,4,6,9,12,18,27,36,108}$

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