In this set of explorations, the computer will randomly pick a few of the numbers shown on the screen, so , for example, the computer might pick two 3's one 2 and no 5's. Then the computer will multiply those together to get the product (in this example, the product is 18). Your task is to try to figure out how many of each number the computer picked.

Can you always figure out how many of each number the computer picked? Why or why not? Play at least 3 times with each game

Game 1: the computer picks some number of 2's, some number of 3's and some number of 5's:

Game 2: the computer picks some number of 2's, some number of 3's, some number of 5's, and some number of 6's

Game 2: the computer picks some number of 1's, some number of 2's, some number of 3's, and some number of 5's.