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Primefactorization

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Transcript

  • 1. Prime Factorization
    By Walker
  • 2. Definition
    Prime Factorization is making a multiplication equation of a number that consists of prime numbers that has a product of the original number.
    50=5 x 5 x 2
    Or
    50=52 x 2
  • 3. A Factor Tree
  • 4. Find Factors of Number
    The first step of a factor tree can almost always gives you a prime number .
    5
    10
    50
  • 5. Continue until all Factors are Prime
    The second step is the same as the first, except it is done on the original factors until all numbers are prime.
    5
    2
    5
    10
    50
    5 x 5 x 2 = 50
  • 6. Convert to Exponents
    If any numbers are stated more than once they can be converted to exponents.
    52
    5 x 5 x 2 = 50
  • 7. HOWEVER!
    Prime factorization does NOT work for prime numbers or the number 1.
  • 8. Finding a LCM with Prime Factorization
    First use prime factorization for the two numbers you want to find the LCM for.
    3
    3
    3
    2
    9
    6
    2
    2
    18
    12
  • 9. Find Common Prime Factors
    Find the repeated prime factors in each factor tree and other prime factors.(repeated factors can only be stated twice)
    3
    3
    3
    2
    2
    2
    9
    6
    18
    12
  • 10. Convert to equation
    Take the prime factors and convert them to a multiplication sentence.(Don’t repeat doubled prime factors)
    2 x 2 x 3 x 3 = 36 = LCM
  • 11. Thanks' For Watching!