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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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设K=3^m*7^n
则K的因子数为 （m+1）（n+1）=6
m=1,n=2
或
m=2,n=1
条件1已知3^2是其中一个因子，则，m=2,n=1.K可求
条件2已知7^2不是其中一个因子，那么n不等于2，则m=2, n=1成立
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