A factorial calculator is a valuable tool in mathematics for computing the product of all positive integers up to a specified number, denoted as n!. For example, 5! equals 5 × 4 × 3 × 2 × 1, resulting in 120. Factorials are essential in various mathematical fields, including combinatorics, probability, and algebra, as they help determine permutations, combinations, and other critical calculations. Utilizing an online factorial calculator simplifies these computations, providing quick and accurate results for both students and professionals. By entering a non-negative integer, users can instantly obtain the factorial value, streamlining complex mathematical problem-solving.