# What are the factors of 108?

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

As the unit digit in ##108## is ##8##, it is divisible by ##2## and as last two digits are ##08## it is also divisible by ##4##. Sum of the digits of ##108## is ##9##, hence it is divisible by ##3## and ##9##. And as it is divisible by ##2## and ##3##, it is also divisible by ##6##
Let us write these numbers starting from ##1## in increasing order in a column and then against them, let us write the dividend obtained by dividing ##108## by these numbers.
The result is as follows:
##Numbercolor(white)(XXXXXX)Dividend##
##color(white)(XX)1color(white)(XXXXXXXXXX)108##
##color(white)(XX)2color(white)(XXXXXXXXXX)54##
##color(white)(XX)3color(white)(XXXXXXXXXX)36##
##color(white)(XX)4color(white)(XXXXXXXXXX)27##
##color(white)(XX)6color(white)(XXXXXXXXXX)18##
##color(white)(XX)9color(white)(XXXXXXXXXX)12##
As there is no number between ##9## and ##12## that divides ##108##, we stop here.
Hence, factors of ##108## are ##{1,2,3,4,6,9,12,18,27,36,108}##

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