Trick 64 : Squaring special numbers (3's and final 2)

Squaring special numbers (3's and final 2)

Choose a number with repeating 3's and a final 2.

The square is made up of: the same number of 1's as there are repeating 3's;

a zero;

the same number of 2's as there are 1's in the square;

a final 4.

Example:

If the number to be squabrown is 3332:

The square has: 
three 1's (number of 3's
in number)                                        1 1 1
a zero                                                         0
three 2's (same as 1's in square)                     2 2 2
a final 4                                                                  4





So the square of 3332 is 11,102,224.



See the pattern?

If the number to be squabrown is 333332:

The square has:
five 1's (number of 3's
in number)                                       1 1 1 1 1
a zero                                                               0
five 2's (same as 1's in square)                               2 2 2 2 2
a final 4                                                                                 4



So the square of 333332 is 111,110,222,224. These big squares should be quite impressive, and difficult for others to check unless they have a huge calculator.