Factorial Calculator (n!)

How the Factorial Calculator (n!) works:

The Factorial Calculator computes the factorial of a given positive integer $n$. The factorial of a non-negative integer $n$ is the product of all positive integers less than or equal to $n$. This calculator supports large factorials and uses BigInt for precise calculations, ensuring accurate results even for larger values of $n$.

Formula:

The factorial of $n$, denoted as $n!$, is defined as:

$$n! = n \times (n – 1) \times (n – 2) \times \dots \times 1$$

Where:

• $n!$ is the factorial of $n$.
• $n$ is a non-negative integer.

Examples:

1. Example 1:

   • Input: $n = 5$
   • Calculation: $$5!=5\times 4\times 3\times 2\times 1=120$$
   • Output: $5! = 120$
     

2. Example 2:

   • Input: $n = 10$
     
   • Calculation: $$10! = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 3,628,800$$
   • Output: $10! = 3,628,800$
     

3. Example 3:

   • Input: $n = 20$
   • Calculation: $$20!=20\times 19\times 18\times \cdots \times 1=2,432,902,008,176,640,000$$
   • Output: $20! = 2,432,902,008,176,640,000$