How many pairs of positive integers x and y satisfy the equation xy=20132013?
Follow Math Help Forum on Facebook and Google+
(Hint: Try factorizing 2013 first).
chiro's point is that x^y, for x and y integers, will be equal to A if and only if A contains every prime factor of x, to the y power.
For example x^y= 36= 4(9)= 2^2(3^2) only for x= 36, y= 1 or for x= 6, y= 2.
View Tag Cloud