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题库 / Prep2007E1-DS-131
The positive integer k has exactly two positive prime factors, 3 and 7. If k has a total of 6 positive factors, including 1 and k, what is the value of k ?
(1) 32 is a factor of k.
(2) 72 is not a factor of k.
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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对于一个数n，假设他的质数因子是a, b, c，且n=(a^x)*(b^y)*(c^z)
则n的因子数为f=(x+1)(y+1)(z+1)
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