You are in a room with 100 light bulbs. each light bulb is numbered from 1 to 100 and each has its own switch. all lights begin in the off position. your job is to switch the lights on or off according to the following procedure: pass 1 you go through and switch lights 1, 2, 3, 4, ect. (they are all now on) pass 2 you go through and switch lights 2,4,6,8 ect. (these lights are now off again) pass 3: you go through and switch lights 3,6,9,12, ect. pass 4 you go through and switch lights 4,8,12,16 ect you continue this process for 100 passes until you have switched light #100 on pass #100. questions: after you have completed every pass, which lights are left on? what is special about these numbers?