Squaring special numbers (2 and repeating 6’s)

Follow the following Steps:

  1. Choose a number with a 2 and repeating 6’s.
  2. The square is made up of:
    • first digits: 7 & two fewer 1’s than repeating 6’s
    • next digits: 07 & one fewer 5 than repeating 6’s
    • last digit: 6

   Example-1:

  1. If the number to be squared is 2666:
  2. The square has:first digits: 7 and two fewer
        1's than 6's                   7 1
    next digits: 07 and one fewer
        5 than 6's                        0 7 5 5
    last digit: 6                                 6
  3. So 2666 × 2666 = 7,107,556.

Example-2:

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  1. If the number to be squared is 266666:
  2. The square has:first digits: 7 and two fewer
       1's than 6's             7 1 1 1
    next digits: 07 and one fewer
       5 than 6's                      0 7 5 5 5 5
    last digit: 6                                  6
  3. So 266666 × 266666 = 71,110,755,556.