Objective- To find factors of numerical and variable expressions.

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Objective- To find factors of numerical and variable expressions. Lesson 5.1Greatest Monomial Factor 5:1 Greatest Monomial Factor Objective- To find factors of numerical and variable expressions. A whole number or variable expression that divides evenly into a given whole number or variable expression. Factor - List all the positive factors of the following. 18 24 5xy 1 18 1 24 1 5xy Factor Tower 2 9 2 12 5 xy 3 6 3 8 5x y 4 6 5y x Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

A number that has no factors other than 1 and itself. Prime Number - A number that has no factors other than 1 and itself. There are fifteen prime numbers from 0 to 50. List them. Prime Composite Neither 2 , 3 , 5 , 7 , 11 4 , 6 , 8 , 9 , 10 , 12 , 1 13 , 17 , 19 , 23 14 , 15 , 16 , 18 , 20 29 , 31 , 37 , 41 21 , 22 , 24 , 25 , 26 43 , 47 27 , 28 , 30 , 32 , 33 34 , 35 , 36 , 38 , 39 40 , 42 , 44 , 45 , 46 48 , 49 , 50 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

“Made up of distinct parts”- Webster’s Composite Number - Numbers that are made up of a product of primes. Prime Factorization - The unique set of prime numbers whose product equals a given number. Write the prime factorization for the following. 18 24 5xy Factor Tree 2 9 4 6 5 xy 3 3 2 2 2 3 x y Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Greatest Common Factor GCF - Greatest Common Factor Find the GCF of the following. 20 24 2 10 2 12 2 5 2 6 2 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Greatest Common Factor GCF - Greatest Common Factor Find the GCF of the following. 9mn 6 9 mn 2 3 m m 3 3 m n Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Greatest Common Factor GCF - Greatest Common Factor Find the GCF of the following mentally. 1) 2) 3) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

1) 2) 3) 4) 5) 6) Find the missing factor. Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Factoring Polynomials Five Types of Factoring 1) Greatest Monomial Factor 1) Greatest Monomial Factor 2) Difference of Squares 3) Perfect Square Trinomial 4) Trinomial Factoring : 5) Trinomial Factoring : Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Greatest Monomial Factor Factor the greatest monomial factor. 1) 3) 2) 4) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Greatest Monomial Factor Factor completely. 1) 3) 2) 4) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series