# Squaring special numbers (5 and repeating 3’s)

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 4next digits: 0 and one fewer    8 than 3's                          0 8 8last digit: 9                                 9`
3. So 5333 Ă— 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 4next digits: 0 and one fewer   8 than 3's                        0 8 8 8 8last digit: 9                                  9`
3. So 533333 Ă— 533333 = 284,444,088,889.

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