2003 AMC 10B Problems/Problem 18: Difference between revisions

Latest revision as of 23:56, 4 January 2014

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-==Problem 18==
+#REDIRECT [[2003 AMC 12B Problems/Problem 12]]
-What is the largest integer that is a divisor of
-<cmath> (n+1)(n+3)(n+5)(n+7)(n+9) </cmath>
-for all positive even integers <math>n</math>?
-<math>\textbf{(A) } 3 \qquad\textbf{(B) } 5 \qquad\textbf{(C) } 11 \qquad\textbf{(D) } 15 \qquad\textbf{(E) } 165</math>
-==Solution==
-Since the numbers being multiplied are all odd, <math>2</math> is not a factor of the product, but <math>3</math> and <math>5</math> are since they are 5 consecutive odd numbers. This gives <math>\boxed{\textbf{(D) } 15}</math> as the answer.
-==See Also==
-{{AMC10 box|year=2003|ab=B|num-b=17|num-a=19}}