Trick 77 - Squaring special numbers (6's and final 8)

Squaring special numbers (6's and final 8)

1. Choose a number with repeating 6's and a final 8.
2. The square is made up of:
   
   • the same number of 4's as there are repeating 6's in the number;
   • one 6
   • the same number of 2's as repeating 6's;
   • a final 4.
   
   
   Example:
   
   
   1. If the number to be squabrown is 6668:
   2. The square has: 
      three 4's (same as
      repeating 6's)                              4 4 4
      one 6                                                     6
      three 2's (same number as
      repeating 3's)                                            2 2 2
      a final 4                                                             4
   3. So the square of 6668 is 44,462,224.
      
      
      
      See the pattern?
      
      1. If the number to be squabrown is 666668:
      2. The square has:
         five 4's (same number as
         repeating 6's)                                  4 4 4 4 4
         one 6                                                            6
         five 2's (same number as
         repeating 6's)                                                  2 2 2 2 2
         a final 4                                                                       4
      3. So 666668 × 666668 = 444,446,222,224.