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Factors , Greatest Common Factor, Prime Numbers, Composite Numbers, and Prime Factorization

Factors , Greatest Common Factor, Prime Numbers, Composite Numbers, and Prime Factorization. Chapter 9 Introduction to Fractions Lesson 1 and 2. I can . . . identify common factors of a set of whole numbers. identify prime and composite numbers. Prime Number.

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Factors , Greatest Common Factor, Prime Numbers, Composite Numbers, and Prime Factorization

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  1. Factors, Greatest Common Factor, Prime Numbers, Composite Numbers,and Prime Factorization Chapter 9 Introduction to Fractions Lesson 1 and 2

  2. I can . . . • identify common factors of a set of whole numbers. • identify prime and composite numbers.

  3. Prime Number • A whole number with exactly two factors, one (1) and itself • Examples: 2, 3, 5, 7, 11, 13, etc.

  4. Composite Number • A whole number that has more than two factors • Examples: 4, 6, 8, 10, etc.

  5. I can . . . • identify common factors of a set of whole numbers. • identify the greatest common factor for two or more numbers. • find the prime factorization of a given whole number.

  6. Factors • Numbers that are multiplied together to make a product • A product is the answer of a multiplication problem.

  7. Greatest Common Factor • The greatest of the common factors of two or more numbers is called the greatest common factor or G.C.F.

  8. Common Factors • Factor (s) that are shared by 2 or more numbers. • Example: a common factor of both 4 and 6 is 2.

  9. How do I find the Greatest Common Factor (G.C.F)? • List ALL the factors for each given number. (from the smallest to the largest) • Circle ALL the factors each number has in common. • Identify the Greatest Common Factor shared by each number.

  10. Example # 1 for Finding the Greatest Common Factor • Find the G.C. F. of 30 and 15 • The G.C. F. of 30 and 15 is 15.

  11. Example # 2 for Finding the Greatest Common Factor • Find the G.C. F. of 16 and 10 • The G.C. F. of 16 and 10 is 2 .

  12. What is Prime Factorization? • Prime Factorization is a way of expressing a composite number as a product of its prime factors. • A factor tree can be used to find the prime factorization of a number.

  13. Find the Prime Factorization of 36:

  14. Assignment: • Complete: • Worksheet: “Identifying Factors”Common Core Sheets: p. 1 • Worksheet: “Finding the Greatest Common Factor” Common Core Sheets p. 1 • Worksheet: “Find the Prime Factors of the Numbers” Math Aides Challenge Work: (Choose one, if time choose another.) • Enrich 9-1 “Let Them Eat Cake” • Problem Solving Practice 9-1 Common Factors • Middle School Math with Pizzazz: Book C (pp. 9-11)

  15. Complete 5-Minute Check 9-2 • Find the common factors of each set of numbers. • 12 and 18 • 20, 24, and 28 • Find the GCF of each set of numbers. • 15 and 20 • 21, 28, and 35

  16. Test Practice 5 Minute Check 9-2 • Kenny is arranging balloons to handout to children at an art festival. There are 32 red balloons and 48 yellow balloons. And equal number of each color balloon is to be in each arrangement. What is the greatest number of arrangements that can be made? • 16 • 8 • 4 • 2

  17. Find the prime factorization of 50:

  18. I can . . . • identify common factors of a set of whole numbers. • identify the greatest common factor for two or more numbers. • find the prime factorization of a given whole number.

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