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There are 1000 lockers. There are 1000 students. Every student opens their locker according to the multiples of their student number. FOr example: Student 1 opens every locker that is a multiple of 1. Student 2 opens every locker that is a multiple of 2. Student 3 opens every locker that is a multiple of 3 and so on. If the locker is already open, then it gets closed. Please give me the awnser and how you got it. PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

2006-10-17 14:16:39 · 7 answers · asked by Kaillif A 1 in Education & Reference Homework Help

7 answers

squared numbers are open
1^2, 2^2, 3^2, ....
every other number has even factors when a number is a square of something, it has odd factors

1 - open 1*1
2-closed 1*2
3-closed 1*3
4-open 1,2,4
5-closed 1,5
6-closed
7-closed
8-closed
9-open
10-closed
16-open 1,2,4,8,16

number squared is in the middle > odd factors

2006-10-17 14:27:49 · answer #1 · answered by Poncho Rio 4 · 1 0

This isn't that hard, just time taking. Find how many multiples ther are of each number.

If lockers start closed.....
Odd number of multiples = open locker
Even number of multiples = closed locker

1= 1 multiple = odd = opened locker
2= 2 multiples = even = closed locker
10 =3 multiples = odd = opened locker

Get it. just find the amount of multiples in each number then find if it is an odd or even number. Easy, just time taking.

2006-10-17 21:27:44 · answer #2 · answered by PilotTim 3 · 1 0

What is the question that you are asking? I never heard of that infamous problem so I don't know what the issue is. So what if students can open more than one locker? Is that the problem?

2006-10-17 21:20:50 · answer #3 · answered by Rich Z 7 · 0 2

http://factorzone.tripod.com/factors.htm

this website, in conjunction with poncho Rio's answer, should save you a fair bit of time. (beware, last time I checked the 350-400 link was whacked, but you can still get to all of them)

2006-10-17 21:58:15 · answer #4 · answered by Anonymous · 1 0

There's a light bulb question like this, but it uses 100 lightbulbs instead of 1000... wow, 1000..... good luck...

2006-10-17 21:22:12 · answer #5 · answered by Asterisk_Love♥ 4 · 0 2

I think you forgot to ask the question part.

2006-10-17 21:24:13 · answer #6 · answered by Judy 7 · 0 1

Do you have Mrs. Trabucchi?

2006-10-17 21:24:41 · answer #7 · answered by kinsy_tay_tay 2 · 0 2

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