If 2^z is a factor of 22!, which of the following could be the value of z?
I. 22
II. 23
III. 24 Select.
A) I ​ only	B) II only	C) I​ and II	D) I, II, and III	E) None
22! contains all numbers from 1 to 22. 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 = 11   Multiples of 4 = 5   Multiples of 8 = 2   Multiples of 16 = 1   Total count = 19   The answer is None.
<result>E</result>
If 2^z is a factor of 22!, which of the following could be the value of z?
I. 22
II. 23
III. 24