MathDB

15

Part of 1968 AMC 12/AHSME

Problems(1)

Largest Integer Dividing $P$

Source: 1968 ASHME Problem #15

9/7/2011
Let PP be the product of any three consecutive positive odd integers. The largest integer dividing all such PP is:
<spanclass=′latex−bold′>(A)</span> 15<spanclass=′latex−bold′>(B)</span> 6<spanclass=′latex−bold′>(C)</span> 5<spanclass=′latex−bold′>(D)</span> 3<spanclass=′latex−bold′>(E)</span> 1<span class='latex-bold'>(A)</span>\ 15 \qquad <span class='latex-bold'>(B)</span>\ 6 \qquad <span class='latex-bold'>(C)</span>\ 5 \qquad <span class='latex-bold'>(D)</span>\ 3 \qquad <span class='latex-bold'>(E)</span>\ 1
AMC