If 2^z is a factor of 30!, which of the following could be the value of z?
I. 23
II. 26
III. 24	Choose the most appropriate option
A) I ONLY  B) II ONLY  C) BOTH I AND II  D) III ONLY  E) NONE OF THE ABOVE
2^z is a factor of 30!, what values can z take.   Powers of 2 in 30! = [30/2] + [30/4] +[30/8] + [30/16] , where [x] is the integral part of x   Powers of 2 in 30! = 15 + 7 + 3 + 1= 
<gadget id="calculator">15 + 7 + 3 + 1</gadget>
<output>26</output>
26   Hence the maximum value of 2^z in 30!= 2^26   Only Statement II satisfies   Correct Option: II ONLY
<result>B</result>
If 2^z is a factor of 30!, which of the following could be the value of z?
I. 23
II. 26
III. 24