9.2 Factors and Prime Factorization Objective: student will identify factors of numbers and be able to identify composite vs prime factors. They will also be able to demonstrate how to write a number as being prime factored.

Factors Ex: Factors of 24 Ex: Factors of 45 Factors: whole numbers multiplied together to get another number. Ex: Factors of 24 Ex: Factors of 45

Examples Write all factors of 30. Write all factors for 63

2 types of numbers Prime number: Composite number: Whole number greater than 1 2 factors: 1 and itself Ex: 2, 3, 5, 11 1 x 2 1 x 3 1 x 5 1 x 17 Composite number: Whole number greater than 1 Number that has more than 2 factors Ex: 6 1 x 6 and 2 x 3 1, 2, 3, 6

Prime/Composite Ex: are the numbers prime or composite? 24 41 51 89

Prime/Composite Ex: are the numbers prime or composite? 32 106 59 83 101 175

Prime Factorization Prime factorization: written as product of prime numbers. Factor tree: diagram helps write prime factorization. Write the prime factorization for 56 56

Prime Factorization Ex. Write the prime factorization for 36. 36 Write the prime factorization for 16 16

Factoring Monomials Monomial: To factor: Ex: Factor 15n3 15n3 Product of numbers/variables One or more variables raised to a power. Ex: 32m2x4 To factor: Prime factor number Variables must have exponents of 1 Ex: Factor 15n3 15n3

Factoring Monomials Ex. 35xy2 -21ab 40m2n 2x3y3

Wrap-up Questions/Concerns? IC/HW: workbook pg. 117