The number 2 is chosen to begin a ladder diagram to find the prime factorization of 66. what other numbers could have been used to start the ladder diagram for 66? how does starting with a different number change the diagram

By changing the number for your prime factorization, you also have a different diagram.

Prime factorization for 66
        
                 66
                  /\
                2*33
                     /\
                    3*11

Even if we change the prime factorization order, we still have the same numbers.

66 = 2 * 3 * 11

Ok what do i do with this information lol