1 / 13

PRIME FACTORIZATION

PRIME FACTORIZATION. PRIME FACTORIZATION. Every composite number can be expressed as a product of prime numbers. This is called the prime factorization of a number. PRIME FACTORIZATION. To find the prime factorization of a number, you can use a factor tree. FACTOR TREES. 36. ^. 6 x 6.

mslusher
Download Presentation

PRIME FACTORIZATION

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. PRIME FACTORIZATION

  2. PRIME FACTORIZATION • Every composite number can be expressed as a product of prime numbers. This is called the prime factorization of a number.

  3. PRIME FACTORIZATION • To find the prime factorization of a number, you can use a factor tree.

  4. FACTOR TREES 36 ^ 6 x 6 ^ ^ 2 x 3 2 x 3 or 2² x 3² 36 = 2 x 2 x 3 x 3

  5. FACTOR TREES 36 ^ 3 x 12 ^ 3 x 4 ^ 2 x 2 or 2² x 3² 36 = 2 x 2 x 3 x 3

  6. FACTOR TREES 9 ^ 3 x 3 9 = 3 x 3 or 3²

  7. FACTOR TREES 21 ^ 3 x 7 21 = 3 x 7

  8. FACTOR TREES 100 ^ 10 x 10 ^ ^ 2 x 5 2 x 5 or 2² x 5² 100 = 2 x 2 x 5 x 5

  9. PRIME FACTORIZATION • To find the prime factorization of a number, you can use a factor ladder.

  10. FACTOR LADDERS Begin with the least prime number that is a factor. Repeat until the quotient is prime.  2 36  18 2  3 9 3 or 2² x 3² 36 = 2 x 2 x 3 x 3

  11. FACTOR LADDERS Begin with the least prime number that is a factor. Repeat until the quotient is prime.  2 60  30 2  3 15 5 or 2² x 3 x 5 60 = 2 x 2 x 3 x 5

  12. FACTOR LADDERS  Begin with the least prime number that is a factor. Repeat until the quotient is prime. 3 45  15 3 5 or 3² x 5 45 = 3 x 3 x 5

  13. FACTOR LADDERS Begin with the least prime number that is a factor. Repeat until the quotient is prime.  5 125  25 5 5 or 5³ 125 = 5 x 5 x 5

More Related