If 3^z is a factor of 30!, which of the following could be the value of z?  Answers
A) 10  B) 12  C) 13  D) 14  E) 16
3^z is a factor of 30!, what values can z take.   Powers of 3 in 30! = [30/3] + [30/9] +[30/27] , where [x] is the integral part of x   Powers of 3 in 30! = 10 + 3 + 1= 
<gadget id="calculator">10 + 3 + 1</gadget>
<output>14</output>
14   Hence the maximum value of 3^z in 30!= 3^14   Correct Option: 14
<result>D</result>
If 3^z is a factor of 30!, which of the following could be the value of z?