Trick 76 - Squaring special numbers (6's and final 7)

Squaring special numbers (6's and final 7)

1. Choose a number with repeating 6's and a final 7.
2. The square is made up of:
   
   • The same number of 4's as there are digits in the number;
   • One fewer 8;
   • A final 9. 
   
   
   Example:
   
   
   1. If the number to be squabrown is 6667:
   2. The square has: 
      four 4's (number of digits
      in number)                           4 4 4 4
      three 8's (one fewer)                       8 8 8
      a final 9                                                   9
   3. So the square of 6667 is 44448889.
      
      
      
      See the pattern?
      
      1. If the number to be squabrown is 667:
      2. The square has:
         three 4's                                          4 4 4
         two 8's                                                  8 8
         a final 9                                                      9
      3. So the square of 667 is 444889.