## mathsucksalot123 Group Title find the prime factorization of 11! one year ago one year ago

1. satellite73

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

2. mathsucksalot123

wouldn't u factor the numbers that are prime

3. satellite73

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

4. mathsucksalot123

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

5. satellite73

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

6. satellite73

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

7. mathsucksalot123

so it would be 2,3,4,5

8. mathsucksalot123

or 2x3x5

9. satellite73

something like the second one

10. satellite73

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

11. mathsucksalot123

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

12. electrokid

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

13. electrokid

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

14. mathsucksalot123

thanks, i got it