1 / 10

Mastering Prime Factorization and GCF

Learn to find prime factorization and GCF for numbers and monomials. Practice identifying prime and composite numbers. Discover the power of GCF in solving mathematical problems.

tnicholas
Download Presentation

Mastering Prime Factorization and GCF

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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.

  2. A prime numberis a number that can only be divided by 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 = 5 • 9 • a • a • b • b • b = 5 • 3 • 3 • 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  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

More Related