If 2^z is a factor of 24!, which of the following could be the value of z?
I. 22
II. 23
III. 24	Choose the correct choice from the following choices:
A) I ​only B) II only C) I​ and II D) I, II, and III E) None
24! contains all numbers from 1 to 24. To find the factor with the highest power of 2, we count the number of multiples of 2, 4, 8 and 16.   Multiples of 2 = 12   Multiples of 4 = 6   Multiples of 8 = 3   Multiples of 16 = 1   Total count = 22   The answer is I ​only.
<result>A</result>
If 2^z is a factor of 24!, which of the following could be the value of z?
I. 22
II. 23
III. 24