LOCKER PROBLEM<3

CREATEd by KARiNA FELiX
1,000 students have opened and shut lockers according to who came first. So the first one came and opened every locker. The next student suddenly came and closed every other locker. This pattern started repeating until at the end. In total the answer was that there was 31 lockers opened. The reason of getting the answer was because there was a certain pattern that was going on with the lockers. It was 1 open, 2 shut, 1 open, 4 shut, 1 open, 6 shut.....etc. All the numbers with perfect squares have odd number of factors and thats why they were opened and the rest were shut. There was 31 perfect squares in total from 1-1,000.