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Prime Factorization and Exponents

Prime Factorization and Exponents. Mrs. Rotunno 5 th Grade 2010-2011. 3 x 3 x 5 x 5 x 5 = 3² x 5³. Prime Factorization is . . . . 2 X 2 X 2 X 3. 3 X 7. A number written as a product of prime factors. 2 X 3 X 3 X 3. 3 X 5 X 5. 2 X 3 X 5.

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Prime Factorization and Exponents

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  1. Prime FactorizationandExponents Mrs. Rotunno 5th Grade 2010-2011 3 x 3 x 5 x 5 x 5 = 3² x 5³

  2. Prime Factorization is . . . 2 X 2 X 2 X 3 3 X 7 A number written as a product of prime factors. 2 X 3 X 3 X 3 3 X 5 X 5 2 X 3 X 5

  3. Prime Factorization can be solved with a Factor Tree A factor tree is a model that shows prime factorization.

  4. Example of a factor tree: No matter what factors you use, you will finish with the same answer. Example 1 Example 2 20 20 4 5 2 10 2 5 2 2 2 X 2 X 5 2 X 2 X 5

  5. Watch this video http://www.youtube.com/watch?v=qGkK8xkWs6U&feature=related Factor Trees

  6. Play These Games http://www.mathplayground.com/factortrees.html http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=category_g_3_t_1.html

  7. Exponents Example: 2 X 2 X 6 X 2 X 6 Combine like terms: 2 X 2 X 2 X 6 X 6 Use exponents: 2³ X 6² exponent 5³ base

  8. How to Write an Exponent Prime factors: 3 x 5 x 5 x 3 x 2 x 5 x 2 Combine like terms: 2 x 2 x 3 x 3 x 5 x 5 x 5 Write down the base numbers: 2 3 5 Add exponents (shown in green): However many times you see the base number, that is your exponent. 2² 3² 5³ Add the multiplication signs: 2² X3² X 5³

  9. Play this Game http://www.studystack.com/matching-14392 8² 7³ 7 x 7 x 7 8 x 8

  10. Do you know your exponents? http://www.studystack.com/quiz-14392 Take this quiz and record your score in your math journal.

  11. Assessment Click on the following link to complete an assessment on Survey Monkey. http://www.surveymonkey.com/s.aspx?PREVIEW_MODE=DO_NOT_USE_THIS_LINK_FOR_COLLECTION&sm=Hyhggl7d5HcJJwK6rcftpN%2b%2fbDp3faTa2fSEgpudJtU%3d We will go over the results in class together.

  12. Definitions Prime number – A number that has only two factors, 1 and itself. Examples: 2, 3, 5, 7, 11 , 13, 17, 19, 23 Composite number - A number that has more than two factors. Examples: 9 = factors are 1, 3, 9 24 = factors are 1, 2, 3, 4, 6, 8, 12, 24 Exponent – Shows how many times a number, called the base, is used as a factor. (Numbers in green are exponents.) Examples: 3² or 4³ Base – A number used as a factor. (Numbers in redare base numbers.) Examples: 5³ or 6²

  13. GLCE’s N.MR.05.07 Find the prime factorization of numbers from 2 through 50, express in exponential notation, e.g., 24 = 23 x 31, and understand that every whole number greater than 1 is either prime or can be expressed as a product of primes.*

  14. References Andrews, A.G., Bennett, J. M., Burton, G. M., Johnson, H.C., Luckie, L., Maletsky, E. M., … Schultz, K. A., (2002). Harcourt Math. Orlando: Harcourt School Publishers. http://www.cksinfo.com/electronics/televisions/index.html http://michigan.gov/documents/5th_Math-Intro_Ltrweb_149037_7.pdf http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=category_g_3_t_1.html http://www.studystack.com/matching-14392 http://www.studystack.com/quiz-14392 http://www.surveymonkey.com/s.aspx?PREVIEW_MODE=DO_NOT_USE_THIS_LINK_FOR_COLLECTION&sm=Hyhggl7d5HcJJwK6rcftpN%2b%2fbDp3faTa2fSEgpudJtU%3d http://www.youtube.com/watch?v=qGkK8xkWs6U&feature=related

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