Factorial/Examples/13
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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
$\blacksquare$