Stanford Summer program's requirement on taking the math course!!! Please do help!

_{}

- How many pairs of positive integers
*x *and *y *satisfy the equation *x**y **= *20132013 ? How many pairs ofpositive integers *x *and *y *satisfy the equation *x**y **= *20122012?

Re: Stanford Summer program's requirement on taking the math course!!! Please do help

How many pairs of positive integers x and y satisfy the equation xy = 20132013 ? How many pairs of positive integers x and y satisfy the equation xy = 20122012?

Re: Stanford Summer program's requirement on taking the math course!!! Please do help

Quote:

Originally Posted by

**Victoriaaaa** How many pairs of positive integers x and y satisfy the equation xy = 20122012?

Look at this webpage.

It tells you that there are 24 divisors. So what is the answer?

Re: Stanford Summer program's requirement on taking the math course!!! Please do help

If you are talking about ordered pairs (x, y) such that xy = n, then their number equals the number of divisors of n, which is denoted by d(n) or . According to Wikipedia, if for prime 's, then .

Re: Stanford Summer program's requirement on taking the math course!!! Please do help

How many pairs of positive integers x and y satisfy the equation x^y = 2013^2013 ? How many pairs of positive integers x and y satisfy the equation x^y = 2012^2012?

Sorry, I think I didn't make the question clear...

Re: Stanford Summer program's requirement on taking the math course!!! Please do help

How many pairs of positive integers x and y satisfy the equation x^y = 2013^2013 ? How many pairs of positive integers x and y satisfy the equation x^y = 2012^2012?

Sorry, I think I didn't make the question clear... It not just divisor.

Re: Stanford Summer program's requirement on taking the math course!!! Please do help