What is the probability that two consequitive positive integers less than or equal to 900 have a product less than or equal to 900? Answer should be in common fraction.

I think I should approach the problem when the product is less that 900. Like 900*2, 800 * 2, 700*2, 600*2, 500*2, 400*3, 200*5or6or7or8or9, 100*10 cannot be considered. Then subtract that probability from 1. Is it how I should handle this problem? Please guide me.

Thanks,