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階乗計算機

非負整数の階乗 (n!) を計算します。

A factorial is the product of all positive integers less than or equal to a given number 'n.' Denoted by 'n!', factorials grow incredibly quickly and are the foundation of combinatorics—the branch of math dealing with combinations and permutations. They are used to calculate the number of ways to arrange objects, the probability of complex events, and in various power series in calculus. Our Factorial Calculator provides exact values for small integers and high-precision scientific notation for larger ones, saving you from enormous manual multiplications.

階乗

3,628,800

The factorial of 10 is 3,628,800

10! = 3,628,800
数値 (n)10

使い方

This calculator uses an iterative approach to multiply the sequence of integers. For very large results, it utilizes floating-point math to provide the result in scientific notation, as the exact whole number would contain hundreds of digits.

計算式

n! = n × (n-1) × ... × 1

Calculation Examples

1. **Small**: 4! = 4 × 3 × 2 × 1 = **24**. 2. **Common**: 6! = **720**. 3. **Statistical**: 10! = **3,628,800**.

Why use this tool in your daily life?

Possibilities are infinite, but math is finite. This service helps you quantify the number of possible outcomes in any scenario, making it a vital partner for risk analysis, statistics, and game design.

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