Squaring special numbers (1 and repeating 3’s)

Follow the following Steps:

  1. Choose a number with a 1 and repeating 3’s.
  2. The square is made up of:
    • first digits: 1 & one fewer 7 than repeating 3’s
    • next digits: 6 & one fewer 8 than repeating 3’s
    • last digit: 9

   Example-1:

  1. If the number to be squared is 1333:
  2. The square has:first digits: 1 and one fewer
        7 than 3's                      1 7 7
    next digits: 6 and one fewer
        8 than 3's                            6 8 8
    last digit: 9                                   9
  3. So 1333 × 1333 = 1776889.

Example-2:

  1. If the number to be squared is 133333:
  2. The square has:first digits: 1 and one fewer
       7 than 3's               1 7 7 7 7
    next digits: 6 and one fewer
       8 than 3's                        6 8 8 8 8
    last digit: 9                                  9
  3. So 133333 × 133333 = 17777688889.