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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).

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4.4 Prime Factorization

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  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

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