The Locker Problem

This solution problem has 31 lockers remain open. First i had found the pattern of odd. The lockers were open by the pattern they are 1,4,9,16,25,36,49,64,81,100,121,144, and 160 and it keeps on going we know that all this numbers are perfect squares. Each of the lockers get change. If each of the lockers are odd there are the once that are open. Each student opens a different locker. If the even number have touch the locker it would be close. Only the odd numbers are open because they are perfect square. Here is how u multiply, you multiply by 16 and25 and ect. Here are the numbers you can multiply by to get to (16) 1*16, 2*8, 4*4 and also to get to (25) you multiply 1*25, 5*5. Every perfect square have a factor that are pair by root factor.

1. Student	2. student		3.student.	4.student	5.student	6. student
1.Open	Open		Open	Open	Open	Open
2.Open	Close		Open	Close	Open	Close
3.Open	Close		Close	Close	Open	Open
4.Open	Close		Close	Open	Open	Open
5.Open	Close		Close	Open	Close	Close
6.Open	Close		Close	Open	Close	Close

THIS IS HOW YOU START TO FIND HOW THEY WERE OPEN