Lesson 5-1 Pages 197-200 Prime Factorization.

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Presentation transcript:

Lesson 5-1 Pages 197-200 Prime Factorization

How to find the prime factorization of a composite number. What you will learn! How to find the prime factorization of a composite number.

Prime number Composite number Prime factorization Factor tree Vocabulary Prime number Composite number Prime factorization Factor tree

What you really need to know! A prime number is a whole number greater than 1 that has exactly two factors, 1 and itself. A whole number greater than 1 that has more than two factors is a composite number.

What you really need to know! Every composite number can be written as the product of prime numbers in exactly one way. This is called the prime factorization of the number.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38

39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73

Example 1: Determine whether the number is prime or composite. 63 1 x 63 3 x 21 7 x 9

29 1 x 29 Determine whether the number is prime or composite. Example 2: Determine whether the number is prime or composite. 29 1 x 29

Find the prime factorization of 100. Example 3: Find the prime factorization of 100.

Example 3: 22•52 100 2 50 2 2 25 2 2 5 5

Example 4: Factor: 21 m2 n 3 7 m m n

Read pages 197-198 and study examples. Do page 199 Guided Practice #s 5-12

Page 199 Guided Practice #’s 5-12

Pages 197-198 with someone at home and study examples! Read: Pages 197-198 with someone at home and study examples!

#’s 14-36 even 39-41, 44, 45, 50-62 Homework: Page 199-200 Lesson Check 5-1

Page 574 Lesson 5-1

Lesson Check 5-1

1 by 6 by 6 2 by 3 by 6 1 by 4 by 9 2 by 2 by 9

4 by 3 by 3 6 by 2 by 3 3 by 2 by 6 1 by 12 by 3 12 by 1 by 3