package Maths;

import java.util.Scanner;

public class PrimeFactorization {
  public static void main(String[] args) {
    System.out.println("## all prime factors ##");
    Scanner scanner = new Scanner(System.in);
    System.out.print("Enter a number: ");
    int n = scanner.nextInt();
    System.out.print(("printing factors of " + n + " : "));
    pfactors(n);
    scanner.close();
  }

  public static void pfactors(int n) {

    while (n % 2 == 0) {
      System.out.print(2 + " ");
      n /= 2;
    }

    for (int i = 3; i <= Math.sqrt(n); i += 2) {
      while (n % i == 0) {
        System.out.print(i + " ");
        n /= i;
      }
    }

    if (n > 2) System.out.print(n);
  }
}