求数学198. If n = 4 p,实在看不懂og解释

ahasusanna

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.

taozhexiong

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

Steven0124

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....

风行GMR

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。