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}
