St1: If P is a factor of Q, every factor of P will be a factor of Q.
lets say P = 6 and Q = 12
factors of P = {1,2,3,6}
factors of Q = {1,2,3,4,6,12}
Every factor of 6 must be a factor of 12
Hence sufficient
St2: Product of prime factors of p is a factor of q.
if p = 36, its factors are {1,2,3,4,6,9,12,18,36} of which prime factors are 2 and 3. their product = 6.
q must be a multiple of 6.lets say q = 6 then 2 and 3 are factors of both (p and q) but several others factors of p like 9, 12 etc are not factors of q.
Alternatively if q = 72, then every factor of p will be a factor of q.
hence insufficient
Ans A
