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Prime factor decomposition

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Prime factor decomposition Prime factor decomposition Presentation Transcript

  • Objective Be able to write a number as the product of prime factors
  • Remember the prime numbers?
    • 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ….
    Here are the first ten prime numbers: Why are they prime? Each number has only two natural factors. In every case the two factors are the number itself and the number 1 The factors of 2 are 1 and 2 The factors of 3 are 1 and 3
  • Prime factor decomposition Write the number 36 as the product of its prime factors 36 Think of two numbers which multiply together to give 36. We could use 2 and 18 2 18 Now ask yourself, “are these prime numbers?” Is 2 a prime number? Yes. So we can stop this part of our tree here. Is 18 a prime number? No. So we carry on 2 2 9 3 3 2 3 3 36 = 2 x 2 x 3 x 3 36 = 2 2 x 3 2
  • Prime factor decomposition Write the number 28 as the product of its prime factors 28 Think of two numbers which multiply together to give 28. We could use 7 and 4 7 4 Now ask yourself, “are these prime numbers?” Is 7 a prime number? Yes. So we can stop this part of our tree here. Is 4 a prime number? No. So we carry on 2 7 2 2 28 = 2 x 2 x 7 28 = 2 2 x 7 2
  • Now try some interactive questions Click here to begin
  • Objective Be able to write a number as the product of prime factors