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# Prime Factorization

Download Presentation ## Prime Factorization

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1. Prime Factorization Factor Trees

2. 30 Find the prime factorization of 30 • Draw two “branches” off of the number.

3. 30 6 5 Find the prime factorization of 30 • Write two numbers that are factors of 30. *Remember: factors are the numbers multiplied together

4. Find the prime factorization of 30 • Determine if the first number is prime or composite. (if don’t know definitions, click on the word.) 30 6 5

5. Prime • The only factors of the integer are itself and one. • EX: 3 --- 3*1 • EX: 23 --- 23 * 1

6. Composite • There are many factors for the integer. • EX: 24 --- 1*24; 2*12; 3*8; 4*6 • EX: 32 --- 1*32; 2*16; 4*8

7. Find the prime factorization of 30 • Notice the 6 is NOT PRIME. It is composite. So, Draw two “branches” off of the number and write two factors of six at the end of each branch. 30 6 5 2 3

8. Find the prime factorization of 30 • The number 5 is prime, so there is no need to draw branches from it. Just circle the number. 30 6 5 2 3

9. Find the prime factorization of 30 • The number 2 is prime, so there is no need to draw branches from it. Just circle the number. 30 6 5 2 3

10. Find the prime factorization of 30 • The number 3 is prime, so there is no need to draw branches from it. Just circle the number. 30 6 5 2 3

11. Find the prime factorization of 30 • Now that all numbers are prime, write the prime factorization of 30. 2 * 3 *5 30 6 5 2 3

12. Prime Factorization • The list of prime factors in numerical order as products of each other.

13. 81 Find the prime factorization of 81 • Draw two “branches” off of the number.

14. 81 9 9 Find the prime factorization of 81 • Write two numbers that are factors of 81.

15. Find the prime factorization of 81 • Determine if the first number is prime or composite. 81 9 9

16. Find the prime factorization of 81 • Notice the 9 is NOT PRIME. It is composite. So, Draw two “branches” off of the number and write two factors of nine at the end of each branch. 81 9 9 3 3

17. Find the prime factorization of 81 • The number 3 is prime, circle the numbers. 81 9 9 3 3

18. 81 9 9 3 3 3 3 Find the prime factorization of 81 • The number 9 is not prime, so we need to draw branches of the number nine.

19. 81 9 9 3 3 3 3 Find the prime factorization of 81 • Now that all numbers are prime, write the prime factorization. 3 * 3 * 3 * 3 or 34

20. Find the prime factorization. • 34 • 75 • 28 • 120 • 225 • 16