Factorial Calculator – Instantly Calculate Factorials of Any Number
Calculate factorial (n!) or permutation (P(n,r)) with step-by-step calculations
The Factorial Calculator is an essential tool for quickly calculating the factorial of any non-negative integer. Whether you are a student, teacher, or professional, this calculator delivers fast, accurate results, saving time and eliminating manual errors.
It is ideal for mathematics, statistics, combinatorics, probability, and computer science.
What Is a Factorial?
A factorial is the product of all positive integers from 1 up to a given number nnn. It is denoted by n!.
Formula:
n!=n×(n−1)×(n−2)×⋯×2×1
Example:
- 5!=5×4×3×2×1=120
- 0!=1 (by definition)
Factorials are fundamental in combinatorics, permutations, probability calculations, and algebra.
History of Factorials
- Ancient Mathematics: Factorials were used in early combinatorial calculations and arrangements.
- 17th Century: Mathematicians like Christian Kramp and James Stirling formalized factorial notation and studied its properties.
- Modern Applications: Factorials are used extensively in probability, statistics, algorithms, and scientific computations.
How to Calculate Factorials
- Manual Calculation: Multiply all positive integers from 1 to n.
- Recursive Formula: n!=n×(n−1)!
- Using Factorial Calculator: Input the number and click calculate to get instant results.
Example: Find 6!
6!=6×5×4×3×2×1=720
How to Use Our Factorial Calculator
- Enter a Number: Input any non-negative integer.
- Click Calculate': The calculator instantly returns the factorial value.
- Optional: Use it for large numbers or multiple calculations efficiently.
Factorial Reference Chart
Number | Factorial |
0 | 1 |
1 | 1 |
2 | 2 |
3 | 6 |
4 | 24 |
5 | 120 |
6 | 720 |
7 | 5040 |
8 | 40320 |
9 | 362880 |
10 | 3628800 |
This chart provides quick factorial examples for reference and learning
Why Use Our Factorial Calculator?
- Accurate: Eliminates errors from manual multiplication.
- Fast: Computes factorials instantly for small and large numbers.
- User-Friendly: Designed for students, teachers, and professionals.
- Versatile: Supports very large integers used in probability and statistics.
- Free & Accessible: No sign-ups, downloads, or subscriptions required.
Practical Applications Where Factorial Calculator Used
- Education: Solve homework problems, exams, and practice combinatorial calculations.
- Combinatorics: Compute permutations and combinations efficiently.
- Probability & Statistics: Calculate event probabilities and arrangements.
- Computer Science: Factorials are used in algorithms, recursive functions, and programming challenges.
- Daily Life: Organize tasks, arrangements, or sequences in a structured manner.
Stop manually calculating factorials and risking errors! Use Digital Calculator Factorial Calculator to get fast, precise, and reliable results for any integer.
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