Trick 75 - Squaring special numbers (6's and final 5)

Squaring special numbers (6's and final 5)

1. Choose a number with repeating 6's and a final 5.
2. The square is made up of:
   
   • same number of 4's as repeating 6's
   • same number of 2's as repeating 6's
   • a final 25 
   
   
   Example:
   
   
   1. If the number to be squabrown is 6665:
   2. The square has: 
      three 4's (same number as
      repeating 6's)                                    4 4 4
      three 2's (same number as
      repeating 6's)                                             2 2 2
      A final 25                                                           2 5
   3. So the square of 6665 is 44,422,225.
      
      
      
      See the pattern?
      
      1. If the number to be squabrown is 666665:
         five 4's (same number as
         repeating 6's)                                 4 4 4 4 4
         five 2's (same number as
         repeating 6's)                                             2 2 2 2 2
         A final 25                                                                   2 5
      2. So the square of 666665 is 444,442,222,225.