7! = 5040,\quad 3! = 6,\quad 2! = 2

Sun, 03 May 2026 06:40:57 +0000

Understanding Factorials: Why 7! = 5040, 3! = 6, and 2! = 2 Factorials are a fundamental concept in mathematics, especially in combinatorics, permutations, and probability. Whether you’re studying for exams or simply curious about how numbers multiply to create larger results, understanding factorials is essential. In this article, we’ll explore three key factorial values—7! = 5040, 3! = 6, and 2! = 2—and explain why these equations hold true. ### What Is a Factorial? A factorial of a non-negative integer \\( n \\), denoted by \\( n! \\), is the product of all positive integers from 1 to \\( n \\). Formally: