标题:
OG 数学412
[打印本页]
作者:
ghfgss231
时间:
2005-8-22 06:32
标题:
OG 数学412
If n is a positive integer and n的平方 is divisible by 72, then the largest positive integer that must divide n is
A) 6
B) 12
C) 24
D) 36
E) 48
请教大家这个题的思路做法,谢谢大家。
作者:
bnbf
时间:
2005-8-22 07:02
72 = 2^3 * 3^2
n^2 = 2^4 * 3^2
n = 2^2 * 3 = 12
作者:
recently
时间:
2005-8-23 06:08
12 is the smallest one,
but if >12, we can't guarantee that it must divide n.
72=2*2*2*3*3.
72^1/2=3*2*(2^1/2)
but because n is a positive integer, so ,
the lease possible n is 3*2*2.
欢迎光临 国际顶尖MBA申请交流平台--TOPWAY MBA (http://forum.topway.org/)
Powered by Discuz! 7.2