Question 107
What is the maximum number of times that you can divide by $2$ the number
$$
1004 \times 1005 \times 1006 \times \dots \times 2008?
$$
$$
1004 \times 1005 \times 1006 \times \dots \times 2008?
$$
Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)