Lesson 4-3 Pages 159-163

Prime Factorization

Lesson Check 4-2

What you will learn!1. How to write the prime factorization of composite numbers.

2. How to factor monomials.

Prime numberPrime number

Composite numberComposite number

Prime factorizationPrime factorization

Factor treeFactor tree

FactorFactor

What you really need to know!

A prime number is a whole number that has exactly two factors, 1 and itself. A composite number is a whole number that has more than two factors. Zero and 1 are neither prime nor composite.

What you really need to know!

Any composite number can be written as a product of prime numbers. A factor tree can be used to find the prime factorization.

What you really need to know!

In algebra, monomials can be factored as a product of prime numbers and variables with no exponents greater than 1.

8x2 = 2•2•2•x•x

Example 1:

Determine whether the number is prime or composite:

31Factors 1 • 31

Prime!

Example 2:

Determine whether the number is prime or composite:

361 • 362 • 183 • 124 • 96 • 6 Composite!

Example 3:

Write the prime factorization of 56.

56

87

7 42

7 2 2 2

23•7

Example 4:

Factor the monomial: 16p2q4

16

82

2 42

2 2 2 2

Example 4:

Factor the monomial: 16p2q4

2•2•2•2•p•p•q•q•q•q

Example 4:

Factor the monomial: -21x2y

-1•3•7•x•x•y

Page 162

Guided Practice

#’s 4-13

Pages 159-161 with someone at home and study

examples!

Read:

Homework: Pages 162-163

#’s 14-44 even

#’s 47-63

Lesson Check 4-3

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Lesson 4-3

Lesson Check 4-3