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Prime Factorization PowerPoint Presentation
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Prime Factorization

Prime Factorization

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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