AMC 12B 2003 Problem 12

Past Contests AMC 12 AMC 12B - 2003
, , , ,
1

What is the largest integer that is a divisor of

(n+1)(n+3)(n+5)(n+7)(n+9)

for all positive even integers n ?

Answer Choices
A. 3
B. 5
C. 11
D. 15
E. 165