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Objectives The student will be able to:

Learn how to find the prime factorization of a number and the GCF for a set of monomials. Solve math problems involving prime factors and GCF. Homework exercises provided.

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Objectives The student will be able to:

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  1. ObjectivesThe 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: A.12 Designed by Skip Tyler, Varina High School

  2. A prime numberis a number that can only be divided by only one and itself. A composite numberis a number greater than one that is not prime. Prime or composite? 37 prime 51 composite

  3. Prime or Composite?89 • Prime • Composite • Both • Neither

  4. 1) Find the prime factorization of 84. 84 = 4 • 21 = 2 • 2 • 3 • 7 = 22 • 3 • 7 2) Find the prime factorization of -210. -210 = -1 • 210 = -1 • 30 • 7 = -1 • 6 • 5 • 7 = -1 • 2 • 3 • 5 • 7

  5. 3) Find the prime factorization of 45a2b3 45a2b3 = 9 • 5 • a • a • b • b • b = 3 • 3 • 5 • a • a • b • b • b = 32 • 5 • a • a • b • b • b Write the variables without exponents.

  6. What is the prime factorization of 48? • 3  16 • 3  4  4 • 2  2  3  4 • 2  2  2  2  2  3

  7. 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.

  8. 4) Find the GCF of 42 and 60. • = 2 • 3 • 7 • 60 = 2 • 2 • 3 • 5 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!

  9. 5) Find the GCF of 40a2b and 48ab4. 40a2b = 2 • 2 • 2 • 5 • a • a • b 48ab4 = 2 • 2 • 2 • 2 • 3 • a • b • b • b • b What do they have in common? Multiply the factors together. GCF = 8ab

  10. What is the GCF of 48 and 64? • 2 • 4 • 8 • 16

  11. Homework • Page 671-672 –(1,6,18,28,32,34,37-45)

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