Factorial on Calculator

Reviewed by David Chen, CFA Mathematics & Financial Analysis Expert

Calculating factorials manually can be time-consuming and prone to errors. Our Factorial on Calculator tool provides instant, accurate results for any non-negative integer, helping you solve complex probability and combinatorics problems in seconds.

Factorial on Calculator

Factorial on Calculator Formula:

n! = n × (n – 1) × (n – 2) × … × 1

Source: Wikipedia – Factorial Function | Britannica Science

Variables:

• n: The non-negative integer you wish to calculate the factorial for.
• n!: The product of all positive integers less than or equal to n.

Related Calculators:

• Permutation Calculator (nPr)
• Combination Calculator (nCr)
• Binomial Coefficient Tool
• Probability Distribution Finder

What is Factorial on Calculator?

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. It is a fundamental concept used in algebra, calculus, and especially in combinatorics to determine the number of ways items can be arranged.

Using a factorial on calculator tool is essential because as n increases, the resulting value grows extremely fast (exponentially). For instance, while 5! is only 120, 10! is over 3.6 million. Manual calculation becomes impossible for larger numbers.

How to Calculate Factorial on Calculator (Example):

Let’s calculate the factorial of 5 (5!):

1. Start with the number 5.
2. Multiply it by the next smaller integer: 5 × 4 = 20.
3. Multiply the result by the next smaller integer: 20 × 3 = 60.
4. Multiply again: 60 × 2 = 120.
5. Finally, multiply by 1: 120 × 1 = 120.
6. The result of 5! is 120.

Frequently Asked Questions (FAQ):

What is the factorial of 0?
By mathematical convention and to satisfy various formulas, 0! is always equal to 1.

Can you calculate the factorial of a negative number?
Standard factorials are only defined for non-negative integers. For negative numbers or decimals, mathematicians use the Gamma Function.

What is the limit of this calculator?
Most standard calculators can handle up to 170!. Values higher than this exceed the capacity of standard computer memory (Infinity).

How is factorial used in real life?
It is used in data science, risk assessment, and scheduling to determine possible outcomes and configurations.