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MathNet 2008-part-02 — 165 problems (EN–VI) Question 107

Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)

Question 107

What is the maximum number of times that you can divide by $2$ the number
$$
1004 \times 1005 \times 1006 \times \dots \times 2008?
$$