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一道PREP题求解~~~~
7、If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of p^2t ?
(1) m has more than 9 positive factors.
(2) m is a multiple of p^3.
【思路】
t are the only prime factors of the integer m,m沒有其他質因數,故m為t所組成,有可能為m=t,m=.................
(1) m has more than 9 positive factors 可知m>t^9, 但無法知道和p的關係,NOT sufficient
(2) m is a multiple of p^3 ,p為m的質因數,又t are the only prime factors of the integer m,t=m, m is a multiple of ,可以寫成m is a multiple of p^2t,sufficient
答案看不明白啊~~~~ |
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