If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is B:
Choose the most appropriate option:
A) B=1  B) B=2  C) B=3  D) B=4  E) B=5
10p/96 should resolve to a integer =&gt; 5p/48 should resolve to an integer.   Hence p/48 should resolve to a integer.   48 -- &gt; 2^4 * 3.   Hence p should have atleast 2^4*3 for p/48 to resolve to a int.   The unique prime factors in 2^4 * 3 is 2, 3 and hence the answer is B=2(2).
<result>B</result>
If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is B: