Students at an elementary school decided to try an experiment. When recess is over, each student will walk into the school one at a time. The first student will open all of the first 50 locker doors. The second student will close all of the locker doors with even numbers. The third student will change all the locker doors with numbers that are multiples of three. (Change means closing locker doors that are open and opening lockers that are closed.) The fourth student will change the position of all locker doors numbered with multiples of four; the fifth student will change the position of the lockers that are multiples of 5, and so on. After 50 students have entered the school, which locker doors will be open?
I can determine the factors of any given number and I can determine the multiples of any given number. 6.NS.7
I can persevere through a challenging math problem. PS.1
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