If m = 3^n, what is the greatest value of n for which m is a factor of 28!	Choose the correct option:
A) 13
B) 10
C) 12
D) 14
E) 16
Solution-   Consider multiples of 25!=&gt; 3,6,9,12,15,18,21,24,27   Count no. of 3 in each multiple.   3=3x1-&gt;1   6=3x2-&gt;1   9=3x3-&gt;2   12=3x4-&gt;1   15=3x5-&gt;1   18=3x3x2-&gt;2   21=3x7-&gt;1   24=3x8-&gt;1   27=3x3x3-&gt;3   ---- count 3's =13 so answer is 13   13nswer : 13
<result>A</result>
If m = 3^n, what is the greatest value of n for which m is a factor of 28!