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题库 / Prep2007E2-DS-166
If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of p2t ?
(1) m has more than 9 positive factors.
(2) m is a multiple of p3.
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M=APT,
(1) M有9个因子，不能判断M是否能被P^2T整除
(2) M=BP^3，由条件可知M=APT联立的P^2=AT/B为整数，两边同乘以T得到P^2T=AT/B，为整数，所以M可以被P^T整除，条件充分
为什么是整数呀
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