If m = 3^n, what is the greatest value of n for which m is a factor of 16! Answers:
A) 8
B) 10
C) 6
D) 14
E) 16
Solution-   Consider multiples of 25!=&gt; 3,6,9,12,15   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   ---- count 3's =6 so answer is 6
<result>C</result>
If m = 3^n, what is the greatest value of n for which m is a factor of 16!