prime numbers

[fangtray]

If the prime numbers P and T are the only prime factors of integer M, is M a multiple of P^2T?

1) m has more than 9 positive factors
2) m is a multiple of p^3


i'm more curious if there is a trick to quickly do this problem.

thanks

[cans]

M = P^x * T^y
M = n* P^2 * T???
B) m is multiple of P^3. then it is also multiple of P^2. Sufficient
A) if m is only pt, factors = 1,p,t,m
if m=pt^4, factors: 1,p,t,pt,pt^2,t^2,pt^3,t^3,t^4,m = 10 factors (>9). not multiple
Thus insufficient. if m=p^4 *t, it will have 10 factors but will be multiple of p^2*t
IMO B

[fangtray]

the answer is D