Lesson 5-1 Pages 197-200

Prime Factorization

What you will learn!

How to find the prime factorization of a

composite number.

Prime numberPrime numberComposite numberComposite numberPrime factorizationPrime factorizationFactor treeFactor 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 1011 12 13 14 15 16 17 18 19 20 21 22 23 2425 26 27 28 29 30 3132 33 34 35 36 37 38

39 40 41 42 43 44 4546 47 48 49 50 51 5253 54 55 56 57 58 5960 61 62 63 64 65 6667 68 69 70 71 72 73

Example 1:

Determine whether the number is prime or composite.

63631 x 631 x 633 x 213 x 217 x 97 x 9

Example 2:

Determine whether the number is prime or composite.

29291 x 291 x 29

Example 3:

Find the prime factorization of 100.

Example 3:

100

502

2 252

2 2 5 5

22•52

Example 4:

Factor:

21m2n

3 7 m m n

Read pages 197-198 and study examples.

Do page 199Guided Practice

#s 5-12

Page 199

Guided Practice

#’s 5-12

Pages 197-198 with someone at home and study

examples!

Read:

Homework: Page 199-200

#’s 14-36 even

39-41, 44, 45, 50-62

Lesson Check 5-1

Page

574

Lesson 5-1

Lesson Check 5-1

1 by 4 by 9

2 by 3 by 6

2 by 2 by 9

1 by 6 by 6

12 by 1 by 3

3 by 2 by 6

4 by 3 by 3

6 by 2 by 3

1 by 12 by 3