If p^3 is divisible by 80, then the positive integer p must have at least how many distinct factors?  Choose the correct choice from the following choices:
A) 2
B) 3
C) 6
D) 8
E) 10
Let say p = 10, checking divisibility by 80   10∗10∗10/80=25/2   Numerator falling short of 2   So, lets say p = 20, again checking divisibility by 80   20∗20∗20/80=100   20 is the least value of p for which p3 can be completely divided by 80   There are 6 distinct factors of 20 &gt;&gt; 1, 2, 4, 5, 10, 20   Answer = 6
<result>C</result>
If p^3 is divisible by 80, then the positive integer p must have at least how many distinct factors?