Factorial Examples
As we can calculate the factorials for any non-negative numbers, thus there can be infinitely many examples of factorials. Let’s consider some of those examples as follows:
Factorial of 5
The Factorial of 5 is obtained by multiplying numbers from 1 to 5.
Factorial of 5 = 5! = 5 × 4 × 3 × 2 × 1 = 120
Factorial of 10
The Factorial of 10 is obtained by multiplying numbers from 1 to 10.
Factorial of 10 = 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800
Factorial of 100
The Factorial of 100 is obtained by multiplying numbers from 1 to 100.
Factorial of 100 = 100! = 100 × 99 × 98 × 97 × 96 × . . . × 5 × 4 × 3 × 2 × 1 = 9.33262154 × 10157
Factorial
Factorial is a fundamental concept in combinatorics as factorials play important roles in various mathematical formulas such as permutations, combinations, probability, and many other formulas. Factorial of any natural number “n” is defined as the product of all natural numbers till n.
In this article, we’ll delve into the intricacies of factorials, exploring factorial notation, the diverse range of factorial formulas, and techniques for computing factorials. Additionally, we’ll touch upon the properties and practical applications of factorials, provide illustrative examples, and address common questions pertaining to this topic. Let’s embark on our journey of understanding factorials.
Table of Content
- What is Factorial?
- Factorial Formula
- How to Find Factorial of a Number?
- Factorial Examples
- Properties of Factorial
- Factorials 1 to 20
- Applications of Factorials
- Solved Examples on Factorial