1. copyright©amberpasillas2010

2. Prime Numbers- A Prime number is a whole number with only 2 factors, one and itself. Composite Numbers- A Composite number is a number that has more than two factors. Example: 2, 3, 5, 7, 11, 13, 17… Example: 4, 6, 8, 9, 10, 12, 14, 15…

3. copyright©amberpasillas2010 Composite Number - Composite numbers can be written as the product of prime numbers. This is called: Prime Factorization - Prime Factorization is the unique set of prime numbers whose product equals a given number.

4. Prime Factorization is when you write a number as the product of prime numbers.  Factor Tree 36 2 18 2 9 3 3 Circle the prime numbers

5. copyright©amberpasillas2010 Write the prime factorization of the number 24. 24 2 12 2 6 4 6 2 3 2 2 2 3 Circle the prime numbers Notice you get the same answer doing it two different ways! No matter how your start, you will get the same answer! That is why prime factorization is so unique!

6. copyright©amberpasillas2010 96 2 48 6 8 2 3 2 4 2 2 Notice we put them in order from least to greatest

7. copyright©amberpasillas2010 240 2 120 2 60 2 30 2 15 3 5

8. 80 2 40 2 20 2 10 1) 2) 2 5 300 2 150 2 75 3 25 5 5 copyright©amberpasillas2010 Try these!

9. 9ab 9 ab a b 3 3

10. copyright©amberpasillas2010 6 m m 2 3

11. Factor - A whole number or variable expression that divides evenly into a given whole number or variable expression. List all the positive factors of the following. 20 40 120 210 45 140 220 410 58 Make a list! Why do you think I always start with one? copyright©amberpasillas2010

12. Making a list can be helpful to keep track of data and to spot any missing data. Making a list can be helpful to keep track of data and to spot any missing data. To find factors of a number make a list starting with the lowest possible factor which is 1. We start with 1 and work our way up. We know we didn’t miss any factors because our list is organized. copyright©amberpasillas2010

13. 60 1 230 320 415 512 610 copyright©amberpasillas2010

14. 48 1 224 316 412 68 copyright©amberpasillas2010

15. 84 1 242 328 421 614 712 copyright©amberpasillas2010

16. 1) Find all the factors 2) Write the prime factorization. 3) Tell whether the number is prime or composite. 1) 124 2) 1243) 124 1124 262 431 2 62 2 31 copyright©amberpasillas2010

17. 1) Find all the factors. 2) Write the prime factorization. 3) Tell whether the number is prime or composite. copyright©amberpasillas2010 1) 97 2) 973) 97 197

18. Take Out Your Study Guide!!! copyright©amberpasillas2010

19. Prime Factorization is when you write a number as the product of prime numbers.  Factor Tree 36 #5 2 18 2 9 3 3 Circle the prime numbers

20. copyright©amberpasillas2010 #6 Make A List Making a list can be helpful to keep track of data and to spot any missing data. To make a list start with the lowest possible factor which is 1. Factors of 36 1 x 36 2 x 18 3 x 12 We know we didn’t miss any Factors because our list is ORGANIZED! Factors of 24 1 x 24 2 x 12 3 x 8 4 x 6 4 x 9 6 x 6