Business, 29.08.2019 04:30 leannaadrian

Alarge high school has a row of 500 numbered lockers, which the custodians have left unlocked and closed before the students arrive. they have also cleaned them so there are no fingerprints on them. on the first day of school, the first student rushes down the hall and opens all of the lockers. the second student follows behind, closing every other locker starting with second locker. starting with the third locker, the third student changes the state of every third locker. this pattern continues until 500 students have gone down the hall, changing the state of the lockers as they go. how many students will have left fingerprints on locker number 378?

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