Squaring special numbers (6’s and final 8)

Follow the following Steps:

  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:

  1. If the number to be squared 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.
   

   Example-2:

  1. If the number to be squared 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.

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