MathDB
Three and Six Place Numbers

Source:

February 1, 2009

Problem Statement

A six place number is formed by repeating a three place number; for example, 256256 256256 or 678678 678678, etc. Any number of this form is always exactly divisible by: <spanclass=′latex−bold′>(A)</span> 7 only<spanclass=′latex−bold′>(B)</span> 11 only<spanclass=′latex−bold′>(C)</span> 13 only<spanclass=′latex−bold′>(D)</span> 101<spanclass=′latex−bold′>(E)</span> 1001 <span class='latex-bold'>(A)</span>\ 7 \text{ only} \qquad<span class='latex-bold'>(B)</span>\ 11 \text{ only} \qquad<span class='latex-bold'>(C)</span>\ 13 \text{ only} \qquad<span class='latex-bold'>(D)</span>\ 101 \qquad<span class='latex-bold'>(E)</span>\ 1001
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