Fact=fact*c ?? How does that work? (Factorial Java)

import java.util.Scanner;

class Factorial {
public static void main(String args[]) {
  int n, c, fact = 1;

  System.out.println("Enter an integer to calculate it's factorial");
  Scanner in = new Scanner(System.in);
  n = in.nextInt();

  if ( n < 0 )
     System.out.println("Number should be non-negative.");
  else
  {
     for ( c = 1 ; c <= n ; c++ )
        fact = fact*c; 

     System.out.println("Factorial of "+n+" is = "+fact);
  }
 }
}

For this code for finding the factorial of a number, I don't get the part where it says, "fact=fact*c". I know it's because fact gets "updated" with a new multiplication factor of c, but do the numbers multiply?

Example: n=3 and c=1,2,3 and fact=1.. then would the process look like, (1*1) * (1*2) * (1*3)= 6?