Calculate the factorial of any number quickly and easily.
Factorial concept and applications
Factorial (n!) is the product of all integers from 1 to that positive integer. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120. As special cases, 0! = 1 and 1! = 1 are defined. Factorial is only valid for non-negative integers. Factorial values grow very rapidly: 10! = 3,628,800, 20! = 2,432,902,008,176,640,000, 100! is approximately a 158-digit enormous number. Due to this rapid growth, calculating large factorials requires special algorithms. Applications and importance: Permutation (arrangement) calculation - In how many ways can we arrange n objects? n! ways. Combination (selection) calculation - To choose r from n: C(n,r) = n! / (r! × (n-r)!). Probability problems and statistical calculations. In Taylor and Maclaurin series expansions. Factorial is a cornerstone in combinatorics and mathematical theory.
What you need to know about factorial calculation
Factorial (n!) is the product of all integers from 1 to that positive integer. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120. As a special case, 0! = 1.
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Factorial (n!) is the product of all positive integers from 1 to n. As a special case, 0! = 1.
Factorial is the product of all positive integers less than or equal to a given positive integer. It is denoted as n!
n! = n × (n-1) × (n-2) × ... × 2 × 1. Special cases: 0! = 1 and 1! = 1
Used in permutations, combinations, probability calculations, series expansions, and many mathematical problems.
Factorial values grow very quickly. For example, 100! is approximately a 158-digit number. Our calculator can compute factorials up to 10000.
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What you need to know about factorial calculation
Factorial (n!) is the product of all integers from 1 to that positive integer. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120. As a special case, 0! = 1.