Factorial/Examples/13

Example of Factorial

$13! = 6 \, 227 \, 020 \, 800$

Prime Factors of $13!$

The prime decomposition of $13!$ is given as:

$13! = 2^{10} \times 3^5 \times 5^2 \times 7 \times 11 \times 13$

Proof

From $12$ factorial:

$12! = 479 \, 001 \, 600$

Then:

  479 001 600
x          13
-------------
1 437 004 800
4 790 016 000
-------------
6 227 020 800

$\blacksquare$