## mathsucksalot123 2 years ago find the prime factorization of 11!

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