1. Prime Time 1.2: Playing to Win the Factor Game

2. 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

3. 1.2 Playing to Win the Factor Game
Define:
Prime number
Composite number
Abundant number
Perfect number
Deficient number

4. 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?

5. 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?

6. 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?

7. 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?

8. 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?

9. 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?