62、Do integers P and T have the same number of different prime factors？

(1)P=5/7T

(2)PT=35

【答案】C

【思路】

系数归一原则：当不存在常数项时，只要系数互质，你是我的倍数，我是你的倍数。根据这一原则：（1）P=5/7T—〉7P=5T,我们可以知道P是5的倍数，T是7的倍数。但是这并不能保证P和T有着相同的prime factors。但是如果结合（2）则只有一种情况就是：P为5，T为7,所以答案为C.

How about just B. Since P and T are integers, so only 5x7=35. And 5 and 7 have the same number of prrime factors?

am I missing somthing? 请指教