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Prime factorization

The document discusses exponents and prime factorization. It provides examples of writing numbers using exponents to show repeated multiplication of a base, such as 53 = 5 × 5 × 5. It also explains that any number can be broken down into prime factors, which are numbers that are only divisible by 1 and themselves. Students are provided opportunities to practice identifying exponents and writing numbers in exponential form through games and assessments linked in the document.

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Exponents andPrime Factorization3 x 3 x 5 x 5 x 5 = 3² x 5³Mrs. Rotunno5th Grade2010-2011
Exponents5³exponentbaseAn exponent shows how many times a number, called a base, is used as a factor.
How to Write an ExponentFactors: 3 x 5 x 5 x 3 x 2 x 5 x 2Combine like terms from smallest to largest: 2 x 2 x 3 x 3 x 5 x 5 x 5Write down the base numbers:235Add exponents (shown in green):2² 3² 5³Add the multiplication signs:2² X 3² X 5³
Match the Expression with the Exponent8 x 8 5² x 7³4 x 4 x 4 8²7 x 5 x 5 x 7 x 7 10⁴10 x 10 x 10 x 10 4³
Match the Expression with the Exponent6 x 6 x 5 x 9 x 9 x 9 x 6 5³x6³x95 x 6 x 5 x 9 x 9 5²x6x9²9 x 6 x 6 x 5 x 6 x 5 x 5 5²x6³x9²6 x 9 x 9 x 6 x 5 x 5 x 6 5x6³x9³
Play this Gamehttp://www.studystack.com/matching-143928²7³7 x 7 x 78 x 8
Do you know your exponents? Take this quiz and record your score in your math journal.http://www.studystack.com/quiz-14392
Prime Factorization is . . . A number written as a product of prime factors.2 X 2 X 2 X 33 X 72 X 3 X 3 X 33 X 5 X 52 X 3 X 5
Prime Factorization can be solved using a Factor TreeA factor tree is a model that shows prime factorization.
Example of a factor tree:No matter what factors you use, you will finish with the same answer. Example 1 Example 220204521022252 X 2 X 5 = 2² X 52 X 2 X 5 = 2² X 5
Use mental math to complete the Factor Tree36943223Then click to see if you were right.
Play These Gameshttp://www.mathplayground.com/factortrees.htmlhttp://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=category_g_3_t_1.html
Watch this videoFactor Treeshttp://www.youtube.com/watch?v=qGkK8xkWs6U&feature=related
AssessmentClick 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%3dWe will go over the results together in class.
DefinitionsPrime number – A number that has only two factors, 1 and itself. Examples: 2, 3, 5, 7, 11 , 13, 17, 19, 23Composite 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, 24Exponent – Shows how many times a number, called the base, is used as a factor. (Numbers in green are exponents.) Examples: 3² or 4³Base – A number used as a factor. (Numbers in red are base numbers.) Examples: 5³ or 6²
GLCE’sN.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.*
ReferencesAndrews, 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.htmlhttp://michigan.gov/documents/5th_Math-Intro_Ltrweb_149037_7.pdfhttp://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=category_g_3_t_1.htmlhttp://www.studystack.com/matching-14392http://www.studystack.com/quiz-14392http://www.surveymonkey.com/s.aspx?PREVIEW_MODE=DO_NOT_USE_THIS_LINK_FOR_COLLECTION&sm=Hyhggl7d5HcJJwK6rcftpN%2b%2fbDp3faTa2fSEgpudJtU%3dhttp://www.youtube.com/watch?v=qGkK8xkWs6U&feature=related