# Factorial Calculator

An online calculator to calculate the factorial of a positive integer. ## Definition of the Factorial of a Positive Integer
If n is a positive integer, then the factorial of n written as \( n! \) (read as "n factorial") is given by
The factorial of positive integers increases very quickly.
## Factorial Calculator of a Positive Integer1 - Enter as a positive integer n or 0 and press "Calculate n!".Note for n = 22 or larger, the results is written in scientific notation using "E" instead of 10. Example: \( 22! = 1.1240007277776077e+21\) is \( 1.1240007277776077× 10^{21} \)
## Applications of Factorial in MathematicsFactorials are used in the formulas of permutations and combinations.Example 3
Factorials are used in the calculation of combinations. The combination of n objects taken r objects at a time is written as \( C(n,r) \) and is given in terms of factorials by the formula
Factorials are used in the calculation of permutations. The permutation of n objects taken r objects at a time, where order is important, is written as \( P(n,r) \) and is given in terms of factorials by the formula
Factorials are used in series of functions in calculus and in turn these series are used in electronic calculators to compute functions such sin(x), cos(x), ln(x), e ## More References and LinksFactorial Questions with Solutions. Tutorials on evaluating and simplifying expressions with factorial notation.Permutations and Combinations Problems. Math Calculators and Solvers. |