求问一道GMAT数学DS题If the integers a and n are greater than 1,and the product of the first 8 positive integers is a multiple of a ^n ,what is the value of a?(1) a ^n =64(2)n=6求问题翻译跟答案解析

问题描述:

求问一道GMAT数学DS题
If the integers a and n are greater than 1,and the product of the first 8 positive integers is a multiple of a ^n ,what is the value of a?
(1) a ^n =64
(2)n=6
求问题翻译跟答案解析

如果整数a和n大于1,并且前8个正整数的乘积是a ^n 的倍数,则a是多少?
(1) a ^n =64 a=4,n=3或者a=2,n=6 ,条件1不充分
(2)n=6 因为前8个正整数的乘积8!=2^7*3^2*5*7,因为n=6,因此a只可能是2,条件2充分
答案是B