Digit transfer
A positive integer is such that when its last digit is moved to the start of the number (example: 1234 becomes 4123), the resulting number is larger than and is an integral multiple of the original number. Find the last 3 digits of the original number.
Details and Assumptions : Numbers are written in standard decimal notation with no leading zeroes. If the original number is 23004, then the answer will be 004 (you can enter 4 also)
The answer is 564.
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1 solution
This is from Nick's mathematical puzzles: http://www.qbyte.org/puzzles/p081s.html.