What Is the Factorial Calculator (n!)?
n! is the product of all positive integers up to n. It counts the number of ways to arrange n distinct objects.
How Does the Factorial Calculator (n!) Work?
Multiply 1 × 2 × 3 × … × n. Internally, double-precision floating-point arithmetic is used.
Factorial Calculator (n!) Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
The factorial grows faster than any exponential.
How to Use the Factorial Calculator (n!)
- Enter a whole number from 0 to 170 and get n!, its scientific notation, digit count, and trailing zeros.
Step-by-Step Example Calculation
10!
Input Values:
n:10
Worked Steps: 10! = 3,628,800
Understanding Your Result
The number of digits in n! is approximately n log₁₀(n) - n log₁₀(e) + ½ log₁₀(2πn).
Factors That Affect the Result
- Factorials grow extremely fast — 20! already exceeds 2 quintillion.
When Should You Use This Calculator?
- Permutations, combinations, probability trees, Taylor series coefficients.
Assumptions & Limitations
- Limited to n ≤ 170 due to IEEE 754 double-precision overflow.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Results are exact for n ≤ 20; floating-point rounding applies for larger values.