Board logo

标题: 求数学198. If n = 4 p,实在看不懂og解释 [打印本页]

作者: ahasusanna    时间: 2012-7-7 11:54     标题: 求数学198. If n = 4 p,实在看不懂og解释

看不懂,跪求中文解释!
解释中for example p=3,如果p=任何一个质数代入呢?为什么答案只有四个呢?

198. If n = 4 p, where  p is a prime number greater than 2,
how many different positive even divisors does n have,
including n ?
(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight

Since p is a prime greater than 2,  p must be odd.
therefore, the possible even divisors of n = 4 p are
2, 4, 2p, and 4 p. Alternatively, choose such a
prime, for example  p = 3, and determine the
number of positive even divisors that  n = 4 p = 12 has.
the correct answer is C.
作者: taozhexiong    时间: 2012-7-9 20:32

没有问题啊,因为p肯定是奇数,那就是2,4,2p和4p这四个啊,记得要是偶数因子哦
作者: Steven0124    时间: 2012-7-10 05:50

我要是遇到这种题,就随便找个数套进去就好了,反正答案是唯一的....
作者: 风行GMR    时间: 2012-7-18 06:26

顶上面,由于P是没有限定,代个3进去就行了。
原题中,由于P是大于2的质数,由定义知P肯定是奇数。
那么N=4P ,问N有多少个偶数约数。
2,4,2P,4P就对啦。




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