Gurpinder wrote:hey,


(2) The difference of any two distinct positive factors of n is odd

For any prime number greater than 2, the difference will always be even. Since for this one the difference is odd, the number is 2.

Therefore (B) is sufficient.

limestone wrote:If the integer n is greater than 1, is n equal to 2
(1) n has exactly 2 positive factors
(2) The difference of any two distinct positive factors of n is odd

OA is B

When I came to this question, I considered "1" not to be a factor, so I took E. However, if "1" is considered as a factor, then (2) suggests that "n" has only 2 factors : 1 & 2, so n is equal to 2. As all factors are odd - except for 2, then differences among them must be even. Is this the explanation for my false choice, E?

missrochelle wrote:

Gurpinder wrote:hey,


(2) The difference of any two distinct positive factors of n is odd

For any prime number greater than 2, the difference will always be even. Since for this one the difference is odd, the number is 2.

Therefore (B) is sufficient.

I chose C because I didn't think statement 2 told us that the number was prime. The fact that the difference of any two distinct factors is odd doesn't tell us the number is prime. What if it were N=4. 4-1 =3? Can you explain how we deduce from statement 2 that N is prime?