[問題]GWD26-11

[magic]

Q11:
How many different factors does the integer n have?
(1)n = a^4b^3, where a and b are different positive prime numbers.
(2) The only positive prime numbers that are factors of n are 5 and 7.
答案是A
請問要怎麼解這題阿??

[Kyo]

n 等於a的四次方乘與b的三次方，又a,b是不同的正質數，

那因子不就是1, a, b, axb, a^2xb, a^3xb, a^4xb, axb^2...n本身。