If k is the greatest positive integer such that 4^k is a divisor of 32! then k =  Choose the most appropriate option.
A) 3 B) 4 C) 5 D) 6 E) 10
32/4= 
<gadget id="calculator">32/4</gadget>
<output>8</output>
8   32/16= 
<gadget id="calculator">32/16</gadget>
<output>2</output>
2   8+2= 
<gadget id="calculator">8+2</gadget>
<output>10</output>
10=k   Answer:10
<result>E</result>
If k is the greatest positive integer such that 4^k is a divisor of 32! then k =