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}#
