N is an integer greater than 1, does n=2?
(1) n has exactly 2 positive factors
(2) The difference of any two distinct positive factors of n is odd.
I understand that (1) is wrong bc this defines any positive prime #
I also think that (2) is in not sufficient:
if n=2, 2-1 the difference is odd
if n=4, 4-1 the difference is odd
if n=6, 6-1 the difference is odd
Together, know Odd-Odd = Even, and Even-Odd = Odd, since 2 is the only even prime Number then together they should be sufficient...
HOWEVER - OG states that (B) is the answer.
Can someone please help me on this. Thanks.
(1) n has exactly 2 positive factors
(2) The difference of any two distinct positive factors of n is odd.
I understand that (1) is wrong bc this defines any positive prime #
I also think that (2) is in not sufficient:
if n=2, 2-1 the difference is odd
if n=4, 4-1 the difference is odd
if n=6, 6-1 the difference is odd
Together, know Odd-Odd = Even, and Even-Odd = Odd, since 2 is the only even prime Number then together they should be sufficient...
HOWEVER - OG states that (B) is the answer.
Can someone please help me on this. Thanks.
