Prime Factorization
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Prime Factorization

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Prime Factorization Prime Factorization Presentation Transcript

  • Prime Factor Tree
  • Definitions
    • Prime Number – An integer whose only factors are 1 and itself.
    • Factor – a number that can divide another number without a remainder.
    • Prime Factors – an expression of numbers that divides another integer without a remainder where all the factors are prime.
  • Let’s Choose a Number
    • Let’s use 36
    • Choose any 2 factors – let’s use 9 and 4
    • Now let’s factor these numbers, too
    • Next, arrange them from least to greatest
    • Last, re-write as exponents
    36 4 9 x 2 2 x x 3 3 2 2 x 3 2 2 2 3 3 x x
  • Let’s Try That Again!
    • Let’s use 36 again
    • Choose any 2 factors – let’s use 3 and 12
    • Now let’s factor these numbers, too
    • Oops, 6 is not prime - let’s factor again!
    • Next, arrange them from least to greatest
    • Last, re-write as exponents
    • Look, it’s the same answer!
    36 3 x x 2 6 12 3 x 3 x x 3 2 2 x 2 x 3 x x 2 3 2 2 x 3 2
  • Let’s Re-Cap
    • Composite numbers are made up of factors
    • In a Prime Factor Tree, the goal is to keep reducing each factor to its lowest possible prime factors
    • When you have all the prime factors identified, re-arrange them from least to greatest and re-write them as exponents