1 / 16

Warm-up

Warm-up. List the factors for the following numbers: 30 66 71. 1, 2, 3, 5, 6, 10, 15, 30. 1, 2, 3, 6,11, 22, 33, 66. 1, 71. Tests (Pre Progress Reports) Textbooks My Website. What am I Learning Today?. Factors Prime Factorization. How will I show that I learned it?. Apply factors

halla-dillon
Download Presentation

Warm-up

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. Warm-up List the factors for the following numbers: • 30 • 66 • 71 1, 2, 3, 5, 6, 10, 15, 30 1, 2, 3, 6,11, 22, 33, 66 1, 71

  2. Tests(Pre Progress Reports)TextbooksMy Website

  3. What am I Learning Today? Factors Prime Factorization How will I show that I learned it? Apply factors Decompose Numbers into their Prime Factorization

  4. Vocabulary Prime Factorization: A number written as the product of its prime factors. Exponent: Tells how many times a number (the base) is used as a factor.

  5. You can use factors to write a number in different ways. Notice that these factors are all prime. 3 • 4 3 • 2 • 2 1 • 12 2 • 6 What do you notice about how the last set of factors are written? The prime factorization of a number is the number written as the product of its prime factors.

  6. Exponent Base What is an exponent? An exponent tells how many times a number called the base is used as a factor. A number is in exponential form when it is written with a base and an exponent. 73 = 7  7  7= 343

  7. To decompose a number into its prime factorization, you may use the tree or the ladder method.

  8. Write the prime factorization of 24 (using a factor tree) Choose any two factors of 24 to begin. Keep finding factors until each branch ends at a prime factor. 24 24 • 4 • 6 2 12 • • • 2 2 6 3 2 2 • 2 3 24 = 3 • 2 • 2 • 2 24 = 2 • 2 • 2 • 3 The prime factorization of 24 is 2 • 2 • 2 • 3

  9. To write your answer using exponents The prime factorization of 24 is 2 • 2 • 2 • 3 3 2 • 3

  10. Write the prime factorization of 24 (using a ladder) Choose a prime factor of 24 to begin. Keep dividing by prime factors until the quotient is 1. 2 24 3 24 2 12 2 8 2 6 2 4 3 3 2 2 1 1 24 = 2 • 2 • 2 • 3 24 = 3 • 2 • 2 • 2 The prime factorization of 24 is 2 • 2 • 2 • 3

  11. To write your answer using exponents The prime factorization of 24 is 2 • 2 • 2 • 3 3 2 • 3

  12. Practice 45 Tree Method Ladder Method

  13. Practice 120 Tree Method Ladder Method

  14. Practice 72 Tree Method Ladder Method

  15. Practice 48 Tree Method Ladder Method

  16. Groups Go to the color of your group. Each person must be able to factor all problems in your clip to prime factors using both the ladder method and the tree method. When time is called, a member of your group will be called to the front to factor one of your problems to primes using one of the methods. You don’t know which member You don’t know which problem You don’t know which method

More Related