Brain Teasers
Can a Number be a Palindrome?
What number, when multiplied by itself, is a palindrome when used nine times or fewer?
For example, if the digit is "A", then the products:
AA x AAA
A x AAAAA
AAA x AAA
AAAAAA x AAAAA
etc.
would all have palindromes for answers.
A palindrome is a word (or in this case a number) which is read the same way forward and backward.
For example, if the digit is "A", then the products:
AA x AAA
A x AAAAA
AAA x AAA
AAAAAA x AAAAA
etc.
would all have palindromes for answers.
A palindrome is a word (or in this case a number) which is read the same way forward and backward.
Answer
1 is one answer.1x1=1
11x11=121
111x111=12321
1111x1111=1234321
11x111111=1222221 etc, etc...
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Comments
But, 1111111111 x 1111111111 = 1234567900987654321 which is not palindromic. Anyway, nice teaser as we shouldn't think of such large numbers
Thanks for that comment krishnan. I had a feelong that I had seen this before and that there were larger cases that did not hold. You saved me the trouble of further investigation (I'm lazy).
I just guest I thought you munt (1x1x1x1x1x1x1)x(1x1x1x1x1x1x1) but I got it write
Big numbers are great though. Especially if it represents one's hourly wages! However, my wages are not in that category. LOLOLOL
kind of easy but still good.
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