##
Rotated Multiples

When you multiply 102564 by 4, its rightmost digit moves to the left and the
other digits move one space to the right (4 × 102564 = 410256). Find the
smallest number that has this same property when multiplied by N (where N is
each integer from 2 to 9.) Some answers are surprisingly long.

Source: Based on Macalaster College
Problem of the Week
#1013.

Solution

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