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mathsucksalot123

  • one year ago

find the prime factorization of 11!

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  1. satellite73
    • one year ago
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    first write it all out, then factor the numbers that are not prime

  2. mathsucksalot123
    • one year ago
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    wouldn't u factor the numbers that are prime

  3. satellite73
    • one year ago
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    you cannot factor a prime number that is why it is called prime

  4. mathsucksalot123
    • one year ago
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    so ur saying the answer is all of the composite numbers? what?

  5. satellite73
    • one year ago
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    start with \[11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\]

  6. satellite73
    • one year ago
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    then factor the numbers that can be factored, like for example \(10=5\times 2\)

  7. mathsucksalot123
    • one year ago
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    so it would be 2,3,4,5

  8. mathsucksalot123
    • one year ago
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    or 2x3x5

  9. satellite73
    • one year ago
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    something like the second one

  10. satellite73
    • one year ago
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    you have a lot more work to do you have to factor all the numbers that you can

  11. mathsucksalot123
    • one year ago
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    i think i did...i showed the work on my paper

  12. electrokid
    • one year ago
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    \[11!=2^\text{number of even terms +1}\times3^\text{number of terms divisible by 3+1}\\ \qquad\times5^\text{no. of terms divisible by 5}\times7^{1}\times11^{1}\]

  13. electrokid
    • one year ago
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    so, \[11!=2^8\times3^4\times5^2\times7\times11\]

  14. mathsucksalot123
    • one year ago
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    thanks, i got it

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