Explore: Factorials

of the factorials, and can be used to count the trailing zeros of the factorials. Daniel Bernoulli and Leonhard Euler interpolated the factorial function

binomial coefficients carry over to the falling and rising factorials. The rising and falling factorials are well defined in any unital ring, and therefore x

× 7 × 5 × 3 × 1 = 945. The zero double factorial 0‼ = 1 as an empty product. The sequence of double factorials for even n = 0, 2, 4, 6, 8,... starts as

In statistics, a factorial experiment (also known as full factorial experiment) investigates how multiple factors influence a specific outcome, called

{\displaystyle n} . Factorial may also refer to: Factorial experiment, a statistical experiment over all combinations of values Factorial code, data representation

A factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even). The first 10 factorial primes

{\displaystyle n} factorials. They are a special case of the Jordan–Pólya numbers, which are products of arbitrary collections of factorials. The n {\displaystyle

first exponential factorials are: 1 21 = 2 32 = 9 49 = 262144 5262144 = 6206069878...8212890625 (183231 digits) The exponential factorials grow much more

same as their sum, with the odd-indexed factorials multiplied by −1 if n is even, and the even-indexed factorials multiplied by −1 if n is odd, resulting

Bhargava factorial has the property that many number-theoretic results involving the ordinary factorials remain true even when the factorials are replaced