4­1 Prime Factorization.notebook
November 11, 2016
WARM­UP
Evaluate.Then write if the number is prime or composite.
25 ­ 1
26 ­ 1
27 ­ 1
28 ­ 1
Nov 13­6:37 PM
Lesson 4­1
PRIME
FACTORIZATION
Mar 14­9:13 AM
1
4­1 Prime Factorization.notebook
November 11, 2016
Objective: To be able to determine whether a number is prime or composite. To be able to write the prime factorization of a number or a monomial.
Virtue/Skill: We need to understand the prime factorization of numbers and monomials that we can factor polynomials to help us solve equations.
Nov 1­5:53 PM
Prime number­ a whole number greater than one, that is only divisible by 1 and itself.
Composite number­ a whole number greater than one that has more than 2 factors. 57
59
34
108
101
83
65
Mar 14­9:13 AM
2
4­1 Prime Factorization.notebook
November 11, 2016
Nov 11­9:38 AM
Prime Factorization­ a composite number written as a product of prime numbers. (factor tree)
108
22 33
Mar 14­9:13 AM
3
4­1 Prime Factorization.notebook
November 11, 2016
Write the prime factorization of 24. Use exponents for repeated factors.
24
24
Mar 14­9:13 AM
Write the prime factorization for the following numbers. Use exponents for repeated factors.
81
63
110
Nov 13­6:43 PM
4
4­1 Prime Factorization.notebook
November 11, 2016
Monomials­ a single term made from a number, a variable, or a product of numbers and variables.
Negative coefficients­ can be factored by using ­1 as a factor.
Factor each monomial (write the prime factorization of each monomial)
8ab2
­30x3y
­16e2f3
10x2y
Mar 14­9:13 AM
Summary
Objective: To be able to determine whether a number is prime or composite. To be able to write the prime factorization of a number or a monomial.
Virtue/Skill: We need to understand the prime factorization of numbers and monomials that we can factor polynomials to help us solve equations.
Assignment: Workbook 4­1
Nov 13­6:13 PM
5
4­1 Prime Factorization.notebook
November 11, 2016
Exit Question
Factor each monomial.
16p 3r4
­39a3bc2
Oct 26­7:09 AM
Homework
Nov 13­6:36 PM
6