Question 829244
<pre>
{{{(a^3b^5)^4}}}{{{""=""}}}{{{a^12b^20}}}

Every factor will be of the form 

{{{a^m*b^n}}} where m=0,1,2,...,12 and n=0,1,2,...,20

For each of the 13 exponents we can choose for m,
there are 21 exponents we can choose for n.

Answer 13×21 = 273 factors

Edwin</pre>