Prime Factorization.

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Presentation transcript:

Prime Factorization

What is Prime Factorization? The process of converting a number into a product of prime numbers. 8= 2 X 2 X 2 12 = 2 x 2 x 3 48 = 2 x 2 x 2 x 2 x 3

1 x 69 3 x 23 What times what equals 69? 69 What times what equals 3? 1 x 3 Prime 3 23 What times what equals 23? 1 x 23 Prime 69= 3 x 23 Prime Factors of 69

1 x 20 2 X 10 4 x 5 What times what equals 20? 1 x 4 2 X 2 20 What times what equals 4? What times what equals 5? 4 5 1 x 5 Prime What times what equals 2? 2 2 1 x 2 Prime 20 = 2 x 2 x 5 Prime Factors of 20

Find the Prime factorization of each number. Practice Find the Prime factorization of each number. After you have had time to calculate click on the number to see if you have the correct answer. 48 54 108 80

48 48 6 8 3 16 2 4 4 4 2 3 2 2 2 2 2 2 48 = 2 x 2 x 2 x 2 x 3

108 108 2 54 18 6 6 9 2 9 2 3 2 3 3 3 3 3 108 = 2 x 2 x 3 x 3 x 3

54 54 2 27 6 9 3 9 2 3 3 3 3 3 54 = 2 x 3 x 3 x 3

80 80 4 20 8 10 2 2 5 4 2 4 2 5 2 2 2 2 80 = 2 x 2 x 2 x 2 x 5