What are all the ordered triples of positive integers (x,y,z) with x<y<z, such that their product is four times their sum?

(x,y,z) = (1,5,24); (1,6,14); (1,8,9); (2,3,10); (2,4,6) are the only possible ordered triples of positive integers that satisfy conditions of the problem.

*Edited on ***November 27, 2007, 3:59 am**