The number of even factors of 21600 is  Select:	A) 32	B) 42	C) 60	D) 25	E) 52
Make a prime factorization of the number: 21,600=25∗33∗52   According to the above the number of factors is (5+1)(3+1)(2+1)=72   Now, get rid of powers of 2 as they give even factors --&gt; you'll have 33∗52 which has (3+1)(2+1)=12 factors. All the remaining factors will be odd, therefore 21,600 has   72-12= 
<gadget id="calculator">  72-12</gadget>
<output>60</output>
60 even factors.   Answer: 60.
<result>C</result>
The number of even factors of 21600 is