If 8^z is a factor of 256!, which of the following could be the value of z? Choose the correct answer.
A) 32
B) 42
C) 30
D) 52
E) 36
8^z is a factor of 256!, what values can z take.   Powers of 8 in 256! = [256/8] + [256/64] , where [x] is the integral part of x   Powers of 8 in 256! = 32 + 4= 
<gadget id="calculator">32 + 4</gadget>
<output>36</output>
36   Hence the maximum value of 8^z in 256!= 8^36   Correct Option: 36
<result>E</result>
If 8^z is a factor of 256!, which of the following could be the value of z?