1. Lesson 10-1: Factors & Greatest Common Factor (GCF)
Plan
L10-1 Notes
Study Guide
Objective
Factor monomials

2. What is a factor?
A factor is a number which multiplied by another gives a product.
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.

3. Prime Factorization
Prime factorization is the process of breaking down a number to factors which are all prime.
Find the prime factorization of 42 42 6 7
= 2●3 ●7 2 3

4. 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

5. Factor:
x2y3
Find the GCF:
14, a5b3, 28a2b4