Tricky 67 - Squaring special numbers (3's and final 6)

Squaring special numbers (3's and final 6)

1. Choose a number with repeating 3's and a final 6.
2. The square is made up of: 

•  the same number of 1's as there are repeating 3's in the number;

• one 2

• one fewer 8 than there are repeating 3's;

• a final 96.

Example:

1. If the number to be squabrown is 3336:
2. The square has:
   three 1's (same as
               repeating 3's)          1 1 1
                one 2                            2
   two 8's (one fewer than
   repeating 3's)                             8 8
   a final 96                                        9 6

3.So the square of 3336 is 11,128,896.

See the pattern?

1. If the number to be squabrown is 333336:
2. The square has:
   five 1's (same as
               repeating 3's)         1 1 1 1 1
              one 2                                   2
   four 8's (one fewer than
                          repeating 3's)              8 8 8 8
   a final 96                                                      9 6

So 333336 × 3333336 = 111,112,888,896.