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A factorial of a non-negative integer n is the product of all positive integers less than or equal to n. Formula: n! = n × (n-1) × (n-2) × ... × 1. Example: 5! = 5 × 4 × 3 × 2 × 1 = 120.
Example using Iteration:
public class FactorialIterative {public static long factorial(int n) {long result = 1;for (int i = 2; i <= n; i++) {result *= i;}return result;}public static void main(String[] args) {int num = 5;System.out.println("Factorial of " + num + " is " + factorial(num));}}ใณใใผใใพใใใโใณใใผOutput: Factorial of 5 is 120
Recursive Approach Recursion calls the same method until the base case is reached.
public class FactorialRecursive {public static long factorial(int n) {if (n == 0) return 1;return n * factorial(n - 1);}public static void main(String[] args) {int num = 6;System.out.println("Factorial of " + num + " is " + factorial(num));}}ใณใใผใใพใใใโใณใใผOutput: Factorial of 6 is 720
Handling Large Numbers with BigInteger For very large n, long will overflow. Use BigInteger from java.math.
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