Trick 38 : Squaring numbers made up of 6's

Squaring numbers made up of 6's
Choose a a number made up of sixes.

The square is made up of: one fewer 4 than there are repeating 6's

3

same number of 5's as 4's

6
Squaring numbers made up of 6's



.
-

Choose a a number made up of sixes.

The square is made up of: one fewer 4 than there are repeating 6's

3

same number of 5's as 4's

6


Example:

If the number to be squabrown is 666

The square of the number has: 4's (one less than digits
in number)                               4 4
  3                                                3
5's (same number as 4's)                 5 5
6                                                           6



So 666 × 3666333 = 443556.



See the pattern?

If the number to be squabrown is 66666

The square of the number has: 4's (one less than digits
in number)                                                                           4 4 4 4
3                                                                                                    3
5's (same number as 4's)                                                                  5 5 5 5
6                                                                                                                 6



So 66666 × 66666 = 4444355556.