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 * School Lockers **



**Congratulations!** You and a team of fellow Mathematicians have been selected to participate in a study case about school lockers at the end of a school year. Your team is going to consist of an Irrational Expert, A Prime Expert and a Composite Expert. A detailed description of each team members duties will be listed on their designated page. During this study you and your team are going to investigate the following problem adapted from CMP: //Prime Time//.

A school has 1000 lockers, all closed. The students are numbered 1 through 1000.

Student 1 opens all the lockers.

Student 2 changes the state of lockers numbered 2,4,6,8, and so on.

Student3 changes the state of lockers numbered 3,6,9, and so on.

The students continue in this same way through student 1000.

When all 1000 students leave what lockers are left open for the school administration to close?