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8.1 Monomials and Factoring Objective Students will be able to: 1. find the prime factorization of a monomial. 2. find the greatest common factor (GCF) for a set of monomials.

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A prime number is a number that can only be divided by one and itself. A composite number is a number greater than one that is not prime. Prime or composite? 37 prime 51 composite

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Ex 1: Prime or Composite? 89 1.Prime 2.Composite 3.Both 4.Neither

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Ex 2) Find the prime factorization of =4 21 = Ex 3) Find the prime factorization of = = = =

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Ex 4) Find the prime factorization of 45a 2 b 3 45a 2 b 3 = 9 5 a a b b b =3 3 5 a a b b b = a a b b b Write the variables without exponents.

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The Greatest Common Factor (GCF) of 2 or more numbers is the largest number that can divide into all of the numbers. Ex 5) Find the GCF of 42 and 60. Write the prime factorization of each number.

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Ex 5) Find the GCF of 42 and 60. What prime factors do the numbers have in common? Multiply those numbers. The GCF is 2 3 = 6 6 is the largest number that can go into 42 and 60! 42 = =

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Ex 6) Find the GCF of 40a 2 b and 48ab 4. 40a 2 b = a a b 48ab 4 = a b b b b What do they have in common? Multiply the factors together. GCF = 8ab

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Ex 7) What is the GCF of 48 and 64?

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8.1 HW PG. 472 #10 – 21 ALL, 43 – 47 ODD (15 PROBLEMS)

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What is the prime factorization of 48? 1.3 4 2 3 2 2 2 3

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