The Locker Problem Solution

The Locker Problem Final Draft Illiana Guirant September 30ThT, 2009
The solution to the locker problem is that thirty one lockers are open while nine hundred sixty nine are left closed. Thirty one lockers are open because you could only square each number until thirty one. If you tried to square each number bigger than thirty one you would end up going over the number one thousand, which is how many lockers there are overall. For example, 32², or 32x32=1024. Obviously 1024 is 24 more than 1,000

In class we realized that if you wanted to find out which number of lockers changed the state, when the student touched it, you would have to look at its factors.
FACTORS
1X36 1 36
2X18 2 18
3X12 3 12
4X9 4 09
6X6 6 06 Therefore all the factors of 36 are 1,2,3,4,6,12,and 18.So those are the lockers that are changed by state.