Marcos Ramirez 09/30/09
The Locker Problem.
Only the square roots are open because they have an odd number # of factors unlike the rest have an even # of factors. And because it wont get touched again and won't be changed cause of the number increasing. Ex. 14 has the factors 1, 2,7,14 that's 4 factors and 4 is even. Ex. 25 has the factors 1,5,25 that are 3 factors and 3 are odd.
There are 31 perfect squares in 1000 and all 31 are open. The pattern was that every perfect square stayed open.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| O | O C | O C | O C O | O C | O C O C | O C | O C O C | O C O | O C O C |
Only 1, 4, 9 are open and they are all perfect squares.
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