1.
If x=9 p=3 n=2
3^2=9,
9 has 3 factors: 3, 9, 1
But p and n could be other values. n could be 3, in which case x would have 4 factors.
p=3 n=3 x=27 factors 27, 1, 9, 3
1 is not sufficient. It leads to multiple values for x.
2. n has to be 2, because only 2^2 = 2+2 = 4. Any other n won't fulfill that. 3^3 = 9 3+3 =6...
But there's nothing to say what relation n (2) has to x. n=2 tells nothing about x, or its factors. x could be 10, 1000, 252, 1347.
2 is not sufficient.
1 and 2.
x=p^n and n=2 indicates x must have 3 factors.
any p (prime) raised to the 2nd power will have 3 factors.
17^2=289
Factors are 289, 1, and 17
1 and 2 together are sufficient.
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