Lesson 10-1: Factors & Greatest Common Factor (GCF)

• Plan– L10-1 Notes– Study Guide

• Objective– Factor monomials

What is a factor?

• A factor is a number which multiplied by another gives a product.

2 5 10

factors product

● All numbers have 1 pair of factors → 1 & itself.

● Number are of 2 types:

1) Prime: only 1 pair of factors

2) Composite: more than 1 pair of factors.

• Prime factorization is the process of breaking down a number to factors which are all prime.

• Find the prime factorization of 42

Prime Factorization

42

6 7

2 3 = 2●3 ●7

Factoring and GCF

• Factoring is breaking a monomial into its prime factors.

• Finding the GCF then is stating all the factors 2 (or more) expressions have in common

Factor:

28 24x2y3

Find the GCF:

14, 56 12a5b3, 28a2b4