Problem
of the
Week

PROBLEM 229

Because of the upcoming Thanksgiving break, this problem will remain posted for two weeks.  Happy Thanksgiving to all!  

Suppose you are told that a natural number is an integral multiple of itself when written backwards, as in 8712 = 4 ´ 2178.  What are the possible multiples that can arise?

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ã2005 Alberto L. Delgado