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PUZZLET 115

Self-Generating Integer Factors

The number 91 has an odd property.  No matter what integer you place in front of and behind it, the 91 is always a factor of the new number. We can put that as 91 is a factor of x91x where x is any digit 1 to 9.

Eg:  3913 = 43 x 91, 8918 = 98 x 91, etc.

It has to work with any pair of outside digits, as long as they're both the same.


8918

Are there any other numbers less than 10,000 with this same property?

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Last Updated: January 14th, 2010.