If we break down 9 and 200 into their most essential components, their prime factors, every possible combination of those factors will give us the ways we could write 9 x 200.
9's prime factorization is 3², and 200 breaks into 2³x5², so the full prime factorization of 9x200 is 2³ x 3² x 5². Any multiplicative combination of those prime factors will give us another way of expressing 9x200. For example, we could take two of the 2's and one of the 5's to get 2 x 2 x 5 = 20 for our first term, and use the rest (2, 3², and 5), to make 2 x 3² x 5 = 90; Checking our work, 20 x 90 = 9 x 200 = 1800, so that would be another valid way of expressing the product.
