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

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Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.

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Presentation transcript:

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. 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 7 = 2●3 ●7 2 3

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