mathsucksalot123
find the prime factorization of 11!
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anonymous
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first write it all out, then factor the numbers that are not prime
mathsucksalot123
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wouldn't u factor the numbers that are prime
anonymous
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you cannot factor a prime number
that is why it is called prime
mathsucksalot123
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so ur saying the answer is all of the composite numbers? what?
anonymous
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start with
\[11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\]
anonymous
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then factor the numbers that can be factored, like for example \(10=5\times 2\)
mathsucksalot123
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so it would be 2,3,4,5
mathsucksalot123
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or 2x3x5
anonymous
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something like the second one
anonymous
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you have a lot more work to do
you have to factor all the numbers that you can
mathsucksalot123
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i think i did...i showed the work on my paper
electrokid
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\[11!=2^\text{number of even terms +1}\times3^\text{number of terms divisible by 3+1}\\
\qquad\times5^\text{no. of terms divisible by 5}\times7^{1}\times11^{1}\]
electrokid
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so,
\[11!=2^8\times3^4\times5^2\times7\times11\]
mathsucksalot123
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thanks, i got it