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题库 / Prep2007E1-DS-3
How many different prime numbers are factors of the positive integer n ?
(1) Four different prime numbers are factors of ~$2n$~.
(2) Four different prime numbers are factors of ~$n^2$~.
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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Four different prime numbers are factors of n^2, then how many different prime numbers are factors of the positive integer n ?
4个不同的质数是n^2的因数，则多少个质数是n的因数？
问下这个该如何理解？4个不同的质数是n^2的因数并不代表n^2的质数因数只有4个呀？比如3/4是60的质数因数，60有3/4/5 3个质数因数。
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