The "factor count" of an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest?
Choose the correct choice from the following options:
A) 60  B) 61  C) 62  D) 63  E) 64
(A)	60 = 2^2*3*5 --&gt; factor count = 3;   (B)	61 = prime --&gt; factor count = 1;   (C)	62 = 2*31 --&gt; factor count = 2;   (D)	63 = 3^2*7 --&gt; factor count = 2;   (E)	64 = 2^6 --&gt; factor count = 1.   60nswer: 60.
<result>A</result>
The "factor count" of an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest?