Anyone good with riddles and work problems?

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piper_628

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Imagine a row of lockers numbered 1 to 1000. Each locker is open. The first person passes by and closes each locker. The second then passes by and opens every licker with a multiple of 2 for its number, beginning with 2. The third passes by and changes each multiple of 3 locker number, opening it if it is closed and clsoing it if it was open.
After 1000 people follow this pattern, which lockers will be closed?
 
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