MathDB
Product of Consecutive Integers

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January 1, 2009

Problem Statement

Suppose that n n is the product of three consecutive integers and that n n is divisible by 7 7. Which of the following is not necessarily a divisor of n n? <spanclass=′latex−bold′>(A)</span> 6<spanclass=′latex−bold′>(B)</span> 14<spanclass=′latex−bold′>(C)</span> 21<spanclass=′latex−bold′>(D)</span> 28<spanclass=′latex−bold′>(E)</span> 42 <span class='latex-bold'>(A)</span>\ 6 \qquad <span class='latex-bold'>(B)</span>\ 14 \qquad <span class='latex-bold'>(C)</span>\ 21 \qquad <span class='latex-bold'>(D)</span>\ 28 \qquad <span class='latex-bold'>(E)</span>\ 42
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