Student #3 then walks down the corridor and changed the status of all the lockers that are numbered with a multiple of 3. By the end of this scenario, 200 students will have walked down the corridor, in numerical order, with each student changing the status of those lockers that are numbered with a number that is a multiple of the student's number.
At that point, which of the lockers are open? More importantly, why are these lockers open?

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well, since some people shut lockers and some open them and some only toggle one .......

wait, where is this question from?

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