1. Prime Factorization
Nekishia Woods-Green

2. Describe a Prime Number
What is true about a prime number? What are some examples of a prime number?

3. Describe a Composite Number
What is true about a composite number? What are some examples of a composite number?

4. Definition
Prime Factorization – A way to write a composite number as the product of prime factors.
2 x 2 x 3 = 12 or 2
2 x 3 = 12

5. How to Do Prime Factorization Using a Factor Tree
Step 1 – Start with a composite number. 48
Step 2 – Write down a multiplication
problem that equals this number or
any pair of factors of this number.
6 x 8 = 48

6. How to Do Prime Factorization Using a Factor Tree
Step 3 – Find factors of these factors.
6 x 8 = 48
2 x 3 x 2 x 4 = 48

7. How to Do Prime Factorization Using a Factor Tree
Step 4 – Find factors of these numbers
until all factors are prime numbers.
6 x 8 = 48
2 x 3 x 2 x 4 = 48
2 x 3 x 2 x 2 x 2 = 48

8. How to Do Prime Factorization Using a Factor Tree
Step 5 – Write the numbers from least
to greatest.
6 x 8 = 48
2 x 3 x 2 x 2 x 2 = 48
2 x 2 x 2 x 2 x 3 = 48

9. How to Do Prime Factorization Using a Factor Tree
Step 6 – Count how many numbers are
the same and write exponents for them.
6 x 8 = 48
2 x 3 x 2 x 2 x 2 = 48
2 x 2 x 2 x 2 x 3 = 48 4
2 x 3 = 48

10. Prime factor this number4
2 x 2
= 4 2
2 = 4

11. Prime factor this number6
2 x 3
= 6

12. Prime factor this number8
2 x 4
= 8
2 x 2 x 2 = 8 3
2 = 8

13. Prime factor this number9
3 x 3
= 9 2
3 = 9

14. Prime factor this number10
2 x 5
= 10

15. Prime factor this number12
3 x 4
= 12
3 x 2 x 2 = 12
2 x 2 x 3 = 12 2
2 x 3 = 12

16. Prime factor this number14
2 x 7
= 14

17. Prime factor this number15
3 x 5
= 15

18. Prime factor this number16
4 x 4
= 16
2 x 2 x 2 x 2 = 16 4
2 = 16

19. Prime factor this number18
3 x 6
= 18
3 x 2 x 3 = 18
2 x 3 x 3 = 18
2 x 3 = 18 2

20. Prime factor this number20
4 x 5
= 20
2 x 2 x 5 = 20
2 x 5 = 20 2

21. Prime factor this number21
3 x 7
= 21

22. Prime factor this number22
2 x 11
= 22