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题库 / Prep2007E1-DS-93
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.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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n−1=oddn−1=odd --> n=odd+1=evenn=odd+1=even. Can nn be even number more than 2? No, because if n=even>2n=even>2 it obviously has 2 as a factor and again as "the difference of any two distinct positive factors of n is odd", then n-2 must be odd, but n−2=even−2=even≠oddn−2=even−2=even≠odd. Hence n=2n=2. Sufficient.
来自 https://gmatclub.com/forum/if-the-integer-n-is-greater-than-1-is-n-equal-to-94720.html?fl=home
4呢？4的因数只有1和2，条件2说的是任何两个不同的因素的差都是奇数，4也满足这个条件。
4的因数还有4本身，不满足条件（2）
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的、条件2 是 any ，限定了是别的可能