Prime Time 1 2 Playing to Win the

Prime Time 1. 2: Playing to Win the Factor Game

1. 2 Playing to Win the Factor Game • Goals: – Classify numbers as prime or composite – Recognize that some numbers are rich in factors, while others have few factors – Review multiplication facts

1. 2 Playing to Win the Factor Game • Define: – Prime number – Composite number – Abundant number – Perfect number – Deficient number

1. 2 Playing to Win the Factor Game • Thinking about the best first move in the Factor Game makes me wonder what the results would be for each number if I chose it as my first move. What if I chose 1 or 2 or 3? How many points would I get? How many points would my opponent get?

1. 2 Playing to Win the Factor Game • Let’s find the results for every possible first move. Can you think of a way that we can organize our work so that we can see patterns and determine which moves are good and which moves are bad?

1. 2 Playing to Win the Factor Game • What strategy can you use to make sure you have found all the factors of a number without missing any?

1. 2 Playing to Win the Factor Game • Read page 9 • Make a table of all possible first moves – List all the proper factors of the numbers • • What pattern do you see? What is the best move? Why? Which first move would you lose a turn? What is the next worst move?

1. 2 Playing to Win the Factor Game • List all the first moves that allow your opponent to score only one point. • These numbers are called prime numbers. • Are all the prime numbers good first moves?

1. 2 Playing to Win the Factor Game • List all the first moves that allow your opponent to score more than one point. These numbers are called composite numbers. • Are composite numbers good first moves?