if integer N has p factors ; how many factors will 3N have ?  Select:
A) p
B) 2p
C) P+1
D) 2p+1
E) Cannot be determined
Case 1:   Let N = 6 =&gt; 2 x 3 (prime factorization) =&gt; p = 4;   3N = 18 =&gt; 3^2 x 2 (prime factorization) =&gt; no. of factors = 6; (p+2)   Case 2:   Let N = 9 =&gt; 3^2 (prime factorization) =&gt; p = 3;   3N = 27 =&gt; 3^2 x 3(prime factorization) =&gt; no of factors = 4; (p+1)   For different N different results are observed. So, shouldn't Cannot be determined be the right answer?   Cannot be determined
<result>E</result>
if integer N has p factors ; how many factors will 3N have ?