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2003 AMC 10B Problem 18

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2003 AMC 10B Problem 18AMC 10 Step by Step
Name:                             Date: September 13, 2026
Divisibility & Factors · difficulty 3 of 5 · about 3 min · position P16-20

What is the largest integer that is a divisor of

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

for all positive even integers nn ?

  1. A)

    33

  2. B)

    55

  3. C)

    1111

  4. D)

    1515

  5. E)

    165165

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