Squaring special numbers (6's and final 9)

1. Choose a number with repeating 6's and a final 9.
2. The square is made up of:
   • the same number of 4's as there are repeating 6's;
   • a 7
   • one fewer 5 than there are repeating 6's;
   • A final 61.

   Example:

1. If the number to be squared is 6669:
2. The square has:
   

   same number of 4's as repeating 6's: 4 4 4
   a 7                                        7 
   one fewer 5 than repeating 6's               5 5
   a final 61                                      6 1
   

3. So the square of 6669 is 44,475,561.

   See the pattern?

1. If the number to be squared is 666669:
2. The square has:
   

   same number of 4's as 6's: 4 4 4 4 4
   a 7                                  7 
   one fewer 5 than repeating 6's         5 5 5 5
   a final 61                                     6 1
   

3. So 666,669 x 666,669 = 44,447,555,561.

Use the pattern to amaze your friends with your multiplying abilities.