Is n equal to 2

[beat_gmat_09]

If the integer n is greater than 1, is n equal to 2 ?

1) n has exactly two positive factors.
2) The difference of any two distinct positive factors of n is odd.

[liferocks]

From 1,
n can be any prime number..insufficient

From 2,
n can be any power of 2 ,like 2,4,8 etc...insufficient

combining

n=2..sufficient

Ans option C