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

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