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HorseCrazyGirlForever

  • 2 years ago

Give the prime factorization of each number, using exponents where appropriate. 140 144 147

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  1. jim_thompson5910
    • 2 years ago
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    What is 140 divided by 2?

  2. HorseCrazyGirlForever
    • 2 years ago
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    70?

  3. jim_thompson5910
    • 2 years ago
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    What is 70 divided by 2

  4. HorseCrazyGirlForever
    • 2 years ago
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    35

  5. jim_thompson5910
    • 2 years ago
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    Then we can divide 35 by 5 to get 7 So doing all this gives us this factor tree |dw:1357595996931:dw|

  6. jim_thompson5910
    • 2 years ago
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    Notice how each branch multiplies to a number above it (eg: 2 and 35 below multiply to 70 above the two)

  7. jim_thompson5910
    • 2 years ago
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    From here, circle all the prime numbers |dw:1357596297032:dw|

  8. jim_thompson5910
    • 2 years ago
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    Then multiply them out to get 2*2*5*7 Because the twos occur twice, we can rewrite it to get \[\Large 2^2*5*7\] So in the end, \[\Large 140 = 2^2*5*7\]

  9. HorseCrazyGirlForever
    • 2 years ago
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    Cool! Thank you! :)

  10. jim_thompson5910
    • 2 years ago
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    yw

  11. HorseCrazyGirlForever
    • 2 years ago
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    :D:D

  12. jim_thompson5910
    • 2 years ago
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    so do you know how to do the others given this one?

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