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## Homework Statement

The product of N 4-digit consecutive integers is divisible by 2010^2. What is the smallest N value? Multiple choice answers range from 4 to 12.

## Homework Equations

N/A

## The Attempt at a Solution

I tried multiplying the smallest combo possible 1000x1001x1002x1003 and quickly realize my calculator can't handle it. Looking for a head start on this question.