Question

Need help!!!
A patio is to be built with 160 tiles. In how many different rectangular arrays can it be arranged?

Answer 1

You can think of each combination as a number pair (width,height). We could have a 160 tiles wide rectangle, but we couldn't have say 150wide because there would only be 10 tiles left. We'd end up like

Answer 2

so you have (160,0), (80,2),(40,4), etc. Just count them all out. You can use some symmetry to save some calculations.