One and Palindromes

Posted by Guillermo Bautista on 10th June 2012 in Games and Puzzles with 2 comments

The pattern below shows that squaring numbers whose digits are all 1 results to palindromes.

1 x 1 = 1

11 x 11 = 121

111 x 111 = 12321

1111 x 1111 = 1234321

11111 x 11111 = 123454321

111111 x 111111 = 12345654321

1111111 x 1111111 = 1234567654321

11111111 x 11111111 = 123456787654321

111111111 x 111111111 = 12345678987654321

Hmm… Do you think this is always true?

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