Trick 66 : Squaring special numbers (3's and final 5)

Squaring special numbers (3's and final 5)
Choose a number with repeating 3's and a final 5.

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

one more 2 than there are repeating 3's;

a final 5.
Example:

If the number to be squabrown is 3335:

The square has: 
three 1's (same as repeating 3's)                 1 1 1
four 2's (one more than
repeating 3's)                                                              2 2 2 2
a final 5                                                                                       5



So the square of 3335 is 11,122,225.



See the pattern?

If the number to be squabrown is 333335:

The square has: 
five 1's (same as
repeating 3's)                                                              1 1 1 1 1
six 2's (one more than
repeating 3's)                                                                            2 2 2 2 2 2
a final 5                                                                                                       5



So the square of 333335 is 111,112,222,225.