If m = 3^n, what is the greatest value of n for which m is a factor of 25! Choices:	A) 8	B) 10	C) 12	D) 14	E) 16
We should find the highest power of 3 in 25!: 25/3+25/3^2=8+2= 
<gadget id="calculator">8+2</gadget>
<output>10</output>
10 (take only the quotient into account).. So the highest power of 3 in 25! is 10.   Answer: 10.
<result>B</result>
If m = 3^n, what is the greatest value of n for which m is a factor of 25!