If 250!/10^n is an integer, what is the largest possible value of n?  Choose the correct option.
A) 65 B) 66 C) 62 D) 69 E) 97
The question actually asks the highest power of 10 which divides 250! ( For a number to be an integer - Without any remainder all the trailing zeroe's must be divided by the denominator)   10 = 2 x 5   250 factorial will have 62 as -   250/5= 
<gadget id="calculator">250/5</gadget>
<output>50</output>
50   50/5= 
<gadget id="calculator">50/5</gadget>
<output>10</output>
10   10/5= 
<gadget id="calculator">10/5</gadget>
<output>2</output>
2   So answer will be (62) 62
<result>C</result>
If 250!/10^n is an integer, what is the largest possible value of n?