8. Which of the following numbers have an odd number of factors? Explain each choice. i. 5 3 ii. 46 9. The following can be assigned as a group project. iii. 3' x 11' x 13 A famous problem in elementary and middle school math curricula is "The Locker Problem." Imagine that a school has 1000 lockers, numbered 1 through 1000. At the beginning of the school year, all of the lockers are closed. Students each take turns closing and opening some of the lockers in this fashion: The first student opens every single locker. The second student closes every second locker. The third student touches every third locker. If the locker is closed, she opens it. If the locker is open, she closes it. The fourth student touches every fourth locker. If the locker is closed, he opens it. If the locker is open, he closes it. And so on, until all 1000 students have had a turn. Which lockers will be open? Which lockers would be closed? What if there were 2000 lockers and 2000 students? ing Teachers Mathematics Project School of Education Boston University. Echopin@bu.edu