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Prime Factorization Introduction Introduction Grade Level and Objectives Grade Level and ObjectivesGrade Level and ObjectivesGrade Level and Objectives.

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1 Prime Factorization Introduction Introduction Grade Level and Objectives Grade Level and ObjectivesGrade Level and ObjectivesGrade Level and Objectives Factor Tree Factor TreeFactor TreeFactor Tree Divisibility Rules Divisibility RulesDivisibility RulesDivisibility Rules Exponential Notation Exponential NotationExponential NotationExponential Notation Quiz QuizQuiz Resources ResourcesResources

2 What is Prime Factorization? Check out the following links to learn about prime factorization: Check out the following links to learn about prime factorization: – Prime factorization is the expression of a positive integer as a product of prime numbers. Prime factorization is the expression of a positive integer as a product of prime numbers.Prime factorization is the expression of a positive integer as a product of prime numbers. – Prime factors and more Prime factors and morePrime factors and more – A Wikipedia explanation A Wikipedia explanationA Wikipedia explanation

3 Grade Level and Objectives This lesson is intended for the middle grades or an early algebra course. This lesson is intended for the middle grades or an early algebra course. Objective 1: Students will be able to factor a number by creating a factor tree. Objective 1: Students will be able to factor a number by creating a factor tree. Objective 2: Students will be able to use proper exponential notation when writing the prime factorization of a number. Objective 2: Students will be able to use proper exponential notation when writing the prime factorization of a number.

4 Factor Tree Learn about what a factor tree is and how to create one for prime factorization: Learn about what a factor tree is and how to create one for prime factorization: – A definition A definitionA definition – An excellent PowerPoint on how to create factor trees. An excellent PowerPoint on how to create factor trees.An excellent PowerPoint on how to create factor trees. – Try a factor tree problem here! Try a factor tree problem here!Try a factor tree problem here! – A Prime Factorization Machine. A Prime Factorization Machine.A Prime Factorization Machine. – Try your own factor tree on this slateboard. Try your own factor tree on this slateboard.Try your own factor tree on this slateboard.

5 Divisibility Rules Divisibility rules help when finding the prime factorization of a number. Divisibility rules help when finding the prime factorization of a number. Knowing divisibility rules greatly increases the speed at which a prime factorization if found. Knowing divisibility rules greatly increases the speed at which a prime factorization if found. The following links share the rules: The following links share the rules: – Rules for dividing by numbers 3-13 Rules for dividing by numbers 3-13Rules for dividing by numbers 3-13 – Rules and examples Rules and examplesRules and examples

6 Exponential Notation Exponential notation –A way to show repeated multiplication of the same factor Exponential notation –A way to show repeated multiplication of the same factor Repeated factors are displayed by using an exponent: Repeated factors are displayed by using an exponent: The Prime Factorization of 12 = 2 2 x 3 Check out this links for another example: Check out this links for another example: – Exponential notation (near the bottom of page) Exponential notationExponential notation

7 Quiz Follow this link to the: Follow this link to the: PRIME FACTORIZATION QUIZ PRIME FACTORIZATION QUIZ

8 Resources


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