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Factorization Factorization is writing a number as a product of factors. 24 60

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Prime Factorization A factorization of the number in which all of the factors are prime numbers. 10 12

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Prime Factorization 24 25

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Prime Factorization Using a factor tree to do prime factorization. 60

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Find the prime factorization 112

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Prime Factorization Using factor tree or division method24

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Using prime factorization to get all factors Use the prime factorization to get all the the factors of 24.

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Factor vs Multiple 24 FactorsMultiples

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Common Factors 1218

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Greatest Common Factor Also known as GCF 1218

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GCF You try 2430

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Common Multiples 610

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Least Common Multiple or LCM 1218 2 2. 32 ∙ 3 2

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Let’s try a few more The LCM of 28 and 140 126 = 2 3 3 7 140 = 2 2 5 7 Think: both 140 and 126 are factors of the LCM. Start with either factor: 126 (factors: a 2, two 3s, and a 7). From 140, we still need a 2 and a 5. LCM = 126 2 5 = 1260. Check: 1260 = 140 3 3 = 1260

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Word Problem Example Tara can run around the track in 5 minutes. Todd can run the same distance in 6 minutes, and Tony can do it in 8 minutes. If they start at the same time, when will they next meet at the starting line?

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Find the LCM of 5, 6, and 8

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