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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.
A prime number is a number that can only be divided by only one and itself. A composite number is a number greater than one that is not prime. Prime or composite? 37 prime 51 composite
Prime or Composite? 89 1.Prime 2.Composite 3.Both 4.Neither
1) Find the prime factorization of 84. 84=4 21 =2 2 3 7 2) Find the prime factorization of -210. -210=-1 210 =-1 30 7 = -1 6 5 7 =-1 2 3 5 7
3) Find the prime factorization of 45a 2 b 3 45a 2 b 3 = 9 5 a a b b b =3 3 5 a a b b b = 3 2 5 a a b b b Write the variables without exponents.
What is the prime factorization of 48? 1.3 16 2.3 4 4 3.2 2 3 4 4.2 2 2 2 3
The Greatest Common Factor (GCF) of 2 or more numbers is the largest number that can divide into all of the numbers. 4) Find the GCF of 42 and 60. Write the prime factorization of each number.
Greatest Common Factor (GCF) The GCF is extremely important when simplifying or reducing fractions.
4) Find the GCF of 42 and 60. What prime factors do the numbers have in common? Multiply those numbers. The GCF is 2 3 = 6 6 is the largest number that can go into 42 and 60! 42 =2 3 7 60=2 2 3 5
5) Find the GCF of 40a 2 b and 48ab 4. 40a 2 b = 2 2 2 5 a a b 48ab 4 = 2 2 2 2 3 a b b b b What do they have in common? Multiply the factors together. GCF = 8ab
What is the GCF of 48 and 64? 1.2 2.4 3.8 4.16
8.1 Monomials and Factoring Objective Students will be able to: 1. find the prime factorization of a monomial. 2. find the greatest common factor (GCF)
Section 5.1 Prime Factorization and Greatest Common Factor.
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. SOL:
Objectives The student will be able to: 7A: Find the prime factorization of a number, the greatest common factor (GCF) for a set of monomials and polynomials.
GCF. Warm – Up!! Good Morning! As you walk in, pick up your calculator and Unit 6 Guided Notes from the podium. Name 3 prime numbers. What are the.
Objectives The student will be able to: find the greatest common factor (GCF) for a set of monomials.
Factoring using GCF Algebra I. Definitions Prime number – is a whole number whose only factors are itself and one (a number can’t be factored any more)
9.1 Factors and Greatest Common Factors What you’ll learn: 1.To find prime factorizations of integers and monomials. 2.To find the greatest common factors.
Monomials and Factoring Honors Math – Grade 8. KEY CONCEPT Prime and Composite Numbers A whole number, greater than 1, for which the only factors are.
Prime Factor and GCF. Vocab Prime number - # > 1 whose factors are only 1 and itself Composite number - # > 1 that has more than 2 factors Prime factorization.
Greatest Common Factor (GCF) and Least Common Multiple (LCM)
Factors are numbers you can multiply together to get another number Example: 2 and 3 are factors of 6, because 2 × 3 = 6 Objectives: SWBAT 1) find the.
Greatest Common Factors a.k.a. GCF. Greatest Common Factors When two numbers share a factor, that factor is called a common factor. – Factors of 8: 1,
Lesson 9-1 Factors and Greatest Common Factors. Definitions Prime Number - A whole number, greater than 1, whose only factors are 1 and itself. Composite.
Factors When two numbers are multiplied, each number is called a factor of the product. List the factors of 18: 18:1, 2, 3, 6, 9, 18 * Calculators: Y =
Prime Factorization, Greatest Common Factor (GCF), and Least Common Multiple (LCM)
Greatest Common Factor Least Common Multiple Factorization.
Lesson 10-1: Factors & Greatest Common Factor (GCF) Plan –L10-1 Notes –Study Guide Objective –Factor monomials.
Do Now 1/4/10 Copy HW in your planner. Copy HW in your planner. –Text p. 214, #1-17 all (you need your text) –Chapter 4 Test Wednesday Be ready to review.
Section 6.1 Factoring Polynomials; Greatest Common Factor Factor By Grouping.
Goal: Find the greatest common factor of two or more numbers.
Factors and the Greatest Common Factor. What numbers can be multiplied together to get 24? 1 x 24 2 x 12 3 x 8 4 x 6 The number 24 is called the product.
Factors Use the prime factorization of two whole numbers to determine the greatest common factor and the least common multiple.
GCF & LCM - Monomials. GCF – greatest common factor.
GREATEST COMMON FACTOR. GREATEST COMMON FACTOR GCF The largest factor two or more numbers have in common. To find the GCF of two or more numbers, you.
9.1 Factors & Greatest Common Factor Methods Examples Practice Problems.
M FP & CComparingFill in.
What prime factorization is. For example the prime factorization of 24 = 2223 Today we will learn how to find the greatest common factor of two.
Fractions VI Simplifying Fractions. Factor A number that divides evenly into another. A number that divides evenly into another. Factors of 24 are 1,2,
Chapter 5 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Factoring.
OBJ: to write the prime factorization of a number.
The greatest common factor is the largest factor that two numbers share. Factors- The number that are multiplied together in a multiplication problem.
Copyright©amberpasillas2010. Factor - A whole number or variable expression that divides evenly into a given whole number or variable expression. List.
Jeopardy Factors, Prime, Composite Prime Factorization Greatest Common Factor Simplifying Fractions Least Common Multiple
Factors, Primes & Composite Numbers. Definition Product – An answer to a multiplication problem. 7 x 8 = 56 Product.
Lesson 2-5. Refresher Simplify the following expressions
Simplifying Fractions Standard: M6N1 Objective: – Students will know how to reduce a fraction into simplest form using three methods Common Factors Greatest.
Factors are numbers you can multiply together to get another number. Multiples are numbers that can be divided by another number without a remainder. Its.
MTH Algebra Factoring a Monomial from a Polynomial Chapter 5 Section 1.
Chapter 9.1. Factoring a number Objective NCSCOS 1.01 – Write equivalent forms of algebraic expressions to solve problems Students will know how to.
4-2 GCF Greatest Common Factor (GCF) - The largest factor that is the same for a given set of numbers Two methods: 1.) Listing Method or modified listing.
By: Tyler Henderson and Derek Marsh. A number greater than one with only two factors mainly one and itself.
Prime Factorization Used to find the LCM and GCF to help us add and subtract fractions.
the largest number that can divide into all of the numbers. Find the GCF of 42 and 60. Write the prime factorization of each number.
Simplifying Fractions using GCF. Factor A number that divides evenly into another number. A number that divides evenly into another number.
Algebra 1 Chapter 8 Factors & The Greatest Common Factor.
Warm Ups: Write in Exponential Notation c b 4 b b = -5 x x 3 y y = d cubed =
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