anonymous
  • anonymous
find the prime factorization of 11!
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
first write it all out, then factor the numbers that are not prime
anonymous
  • anonymous
wouldn't u factor the numbers that are prime
anonymous
  • anonymous
you cannot factor a prime number that is why it is called prime

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anonymous
  • anonymous
so ur saying the answer is all of the composite numbers? what?
anonymous
  • anonymous
start with \[11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\]
anonymous
  • anonymous
then factor the numbers that can be factored, like for example \(10=5\times 2\)
anonymous
  • anonymous
so it would be 2,3,4,5
anonymous
  • anonymous
or 2x3x5
anonymous
  • anonymous
something like the second one
anonymous
  • anonymous
you have a lot more work to do you have to factor all the numbers that you can
anonymous
  • anonymous
i think i did...i showed the work on my paper
anonymous
  • anonymous
\[11!=2^\text{number of even terms +1}\times3^\text{number of terms divisible by 3+1}\\ \qquad\times5^\text{no. of terms divisible by 5}\times7^{1}\times11^{1}\]
anonymous
  • anonymous
so, \[11!=2^8\times3^4\times5^2\times7\times11\]
anonymous
  • anonymous
thanks, i got it

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