Solve xy=6xy = 6xy=6 for positive integer pairs (x,y)(x, y)(x,y).
(1,6),(2,3),(3,2),(6,1)(1, 6), (2, 3), (3, 2), (6, 1)(1,6),(2,3),(3,2),(6,1)
(1,6),(6,1)(1, 6), (6, 1)(1,6),(6,1)
(2,3),(3,2)(2, 3), (3, 2)(2,3),(3,2)
Infinitely many