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FacToring

This review covers essential concepts in number theory, focusing on prime and composite numbers. A prime number has exactly two distinct factors: itself and one (e.g., 5). In contrast, composite numbers have more than two factors (e.g., 12). The session introduces prime factorization and the tree method for expressing composite numbers in terms of their prime factors. With examples like 48 and 42, students are encouraged to practice their factoring skills and deepen their understanding of these fundamental mathematical concepts.

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FacToring

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  1. FacToring Glencoe Chapter 10 Section 1- Ms. Moye

  2. Review: • What is a prime number? • Well, it’s a number that has exactly two factors: itself and one • Example: 5 • It’s factors are 5 and 1.

  3. Review: • Who remembers what a composite number is? • Composite numbers are numbers with more than two factors. (Not including 1.) • Example: 12 • 12 factors into 2, 2 and 3.

  4. Prime Factorization • We’re going to start by learning how to express a composite number in terms of it’s prime factors. • My favorite method is the tree method: 8 8 = 4 * 2 4 = 2 * 2 http://thefactortree.com/2010/10/what-is-a-factor-tree/

  5. An example: What numbers go into 48? 1 and 48 2 and 24 3 and 16 4 and 12 6 and 8

  6. An example: What numbers go into 8? 1 and 8, 2 and 4 What numbers go into 6? 1 and 6, 2 and 3

  7. An example: Do any of these numbers need to be factored further?

  8. An example: http://www.alleyoop.com/blog/2011/02/27/math-facts-factor-trees/

  9. Solution • This example showed us that 48 has 5 prime factors: • 2 • 3 • 2 • 2 • 2

  10. Try it on your own: • Try factoring the number 42 on your own. • (Hint: Start by finding one number that you know goes into 42 and work from there)

  11. Time to pause the video!

  12. Solutions: http://thefactortree.com/2010/10/what-is-a-factor-tree/

  13. CONGRATS!! Time to finish your worksheet!

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