## anonymous 3 years ago find the prime factorization of 11!

1. anonymous

first write it all out, then factor the numbers that are not prime

2. anonymous

wouldn't u factor the numbers that are prime

3. anonymous

you cannot factor a prime number that is why it is called prime

4. anonymous

so ur saying the answer is all of the composite numbers? what?

5. anonymous

start with $11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2$

6. anonymous

then factor the numbers that can be factored, like for example $$10=5\times 2$$

7. anonymous

so it would be 2,3,4,5

8. anonymous

or 2x3x5

9. anonymous

something like the second one

10. anonymous

you have a lot more work to do you have to factor all the numbers that you can

11. anonymous

i think i did...i showed the work on my paper

12. anonymous

$11!=2^\text{number of even terms +1}\times3^\text{number of terms divisible by 3+1}\\ \qquad\times5^\text{no. of terms divisible by 5}\times7^{1}\times11^{1}$

13. anonymous

so, $11!=2^8\times3^4\times5^2\times7\times11$

14. anonymous

thanks, i got it