1 / 9

4.4 Prime Factorization

4.4 Prime Factorization. Prime Factorization. Prime factorization = write as product of primes Ex 1) Find prime factorization of 936. 936. 936 = 2 • 2 • 2 • 3 • 3 • 13 = 2 3 • 3 2 • 13. 2. 468. 2. 234. 2. 117. 3. 39. 3. 13. Vocabulary. (smaller # than orig).

domani
Download Presentation

4.4 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. 4.4 Prime Factorization

  2. Prime Factorization Prime factorization = write as product of primes Ex 1) Find prime factorization of 936 936 936 = 2 • 2 • 2 • 3 • 3 • 13 = 23• 32• 13 2 468 2 234 2 117 3 39 3 13

  3. Vocabulary (smaller # than orig) • GCF = Greatest Common Factor • Biggest number that divides evenly into all three numbers • LCM = Least Common Multiple • Smallest number that can be divided by all three numbers (larger # than orig)

  4. Ladder Method Ex 2) Find the GCF and LCM of 72, 108, 126 2 72 108 126 36 63 54 9 7 6 4 GCF: 2 • 9 = 18 1st: Find a number that divides evenly into all the numbers 2nd: Continue until you can’t find any more numbers

  5. Ladder Method Ex 2) Find the GCF and LCM of 72, 108, 126 2 72 108 126 36 54 63 9 2 4 6 7 If it doesn’t go in, just bring # down 7 3 2 LCM: 2 • 9 • 2 • 2 • 3 • 7 = 1512 3rd: Find a number that divides evenly into at least 2 # 4th: Continue until you can’t find any more numbers

  6. Ex 3) Find the GCF and LCM of 48u2v2 and 60uv3w 12 48u2v2 60uv3w 5uv3w 4u2v2 uv2 5vw 4u GCF: 12uv2 LCM: 12uv2 • 4u • 5vw = 240u2v3w

  7. Ex 4) Find the GCF and LCM of 30, 35, 36, 42 1 30 35 36 42 30 35 36 42 5 7 42 36 6 6 7 7 6 7 1 1 1 6 1 GCF: 1 LCM: 5 • 6 • 7 • 6 = 1260

  8. TOO: Find the GCF and LCM 1) 100, 120, 90 2) 32x3y3, 120xy4, 42x2y3 Answers: 1) GCF: 10, LCM: 1800 2) GCF: 2xy3, LCM: 3360x3y4

  9. Homework # 403 Pg. 181 1 – 20 all

More Related