Squaring special numbers (5 and repeating 3’s)

Follow the following Steps:

  1. Choose a number with a 5 and repeating 3’s.
  2. The square is made up of:
    • first digits: 28 & one fewer 4 than repeating 3’s
    • next digits: 0 & one fewer 8 than repeating 3’s
    • last digit: 9

   Example-1:

  1. If the number to be squared is 5333:
  2. The square has:first digits: 28 and one fewer
        4 than 3's                   2 8 4 4
    next digits: 0 and one fewer
        8 than 3's                          0 8 8
    last digit: 9                                 9
  3. So 5333 × 5333 = 28,440,889.

   Example-2:

  1. If the number to be squared is 533333:
  2. The square has:first digits: 28 and one fewer
       4 than 3's             2 8 4 4 4 4
    next digits: 0 and one fewer
       8 than 3's                        0 8 8 8 8
    last digit: 9                                  9
  3. So 533333 × 533333 = 284,444,088,889.