Pre-Calc Problem?

Question

a new school has exactly 1000 lockers and 1000 students. On the first day of school the studenets meet outside the building and agree on the following plan. The first student will enter the school and open all lockers the second will enter and close all lockers with an even number. the third student will then reverse every third locker. that is if the locker is closed he will open it . if it is open he will close it. the fourth student will then reverse every fourth locker. the fifth will reverse every fifth locker and so on untill all 1000 students enter and reverse their lockers. which lockers will remain open. the first person to show the work an d an answer will recieve best answer THX

Answer 1

dont know