一道PREP题求解~~~~

Michiko54

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~~~~

yxz2289

lz,根据我的理解应该选E，个人感觉答案错误。m这个数应该等于p的x次乘以t的y次。那么如果p为3，t为7，x为3，y为7，则都不成立。手机打字见谅哈～

zhainiuniu

如果题目没错的话，肯定是E

Michiko54

PREP的答案是B，答案会有错么？

Michiko54

我选的也是E，实在是不理解B选项怎么得出来的~~~