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

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

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

Prime Factorization 24 25

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

Find the prime factorization 112

Prime Factorization Using factor tree or division method24

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

Factor vs Multiple 24 FactorsMultiples

Common Factors 1218

Greatest Common Factor Also known as GCF 1218

GCF You try 2430

Common Multiples 610

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

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

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?

Find the LCM of 5, 6, and 8

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