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Section 5.1 Prime Factorization and Greatest Common Factor.

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1 Section 5.1 Prime Factorization and Greatest Common Factor

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

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

4 1) Find the prime factorization of =4 21 = ) Find the prime factorization of = = = =

5 3) 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.

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

7 The Greatest Common Factor (GCF) of 2 or more numbers is the largest number that can divide into all of the numbers. 4) Find the GCF of 42 and 60. Write the prime factorization of each number.

8 4) 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 = =

9 5) 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

10 What is the GCF of 48 and 64?

11 What is the GCF of? 36 and 60 28a and 35a 2 45 and 75

12 Some to try: 8ab and 48a 28, 42, 56 50, 55, 60


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