Ineed with this i missed a day of school.
1. make a table of all possible first moves (numbers from 1 to 30) in the factor game. for each move, list the proper factors of the number. then record the scores for you and your opponent.
first move proper factors my score opponent's score

1 none lose a turn 0
2 1 2 2
3 1 3 1
4 1, 2 4 3
5 1 5
6 1,2,3 6
2. describe an interesting pattern you see in your table.
b
1. what is the best first move? why?
2. which first move makes you lose your turn? why?
c
1. list all first moves that allow your opponent to score only one point. these numbers are called prime numbers. are all prime numbers good first moves? explain.
2. list all first moves that allow your opponent to score more than one point. these numbers are called composite numbers. are composite numbers good first moves? explain.