请问一道Prep

meckychen

How many different prime numbers are factors of the positive integer n ?



(1) Four different prime numbers are factors of 2n.



(2) Four different prime numbers are factors of n².

How to analyze?
Thank you.

切尔西

这个题应该选B吧
条件一：2n有四个质因数，可以是2*a*b*c也可以是2*2*a*b*c;这里假设a,b,c是n的质因数，所以无法确定
条件二：因为n^2有四个质因数，n*n质因数不会改变，所以条件二成立