9th grade
posted by arianna
A new high school has just been completed. There are 1,000 lockers in the long hall of the school and they have been numbered from 1 to 1,000. During lunch, the 1,000 students decide to try an experiment.
 The first student, student 1, runs down the row of lockers and opens every door.
 Student 2 closes the doors of lockers 2, 4, 6, 8 and so on to the end of the line.
 Student 3 changes the state of the doors of lockers 3, 6, 9, 12 and so on to the end of the line. (the student opens the door if it is closed and closes the door if it is opened)
 Studnet 4 changes the state of the doors 4, 8, 12, 16 and so on. Student 5 changes the state of every fifth door, student 6 changes the state of every sixth, and so on until all 1000 students have had a turn.
When the students are finished, which lockers doors are open?

bobpursley
There won't be a pattern. Take the factors of each number, include 1 and the number itself. Count the number of factors. This is the number of "state" flips. If it is even, the locker is closed. If it is odd, the locker is open.

david
@bobpursley
so you mean we have to do a factor tree for 1000 numbers?! 
hArnoZlLt
Yeah, that's the tkciet, sir or ma'am

Anonymous
Side of a triangle are in the ratio 2:3:4 if shortest side is 45mm find the length of the the other sides
Respond to this Question
Similar Questions

Math
A new school has exactly 1,000 lockers and 1,000 students. the student meet outside the building and decide on this plan. The first student will enter and open al the lockers. The second student will enter and colse ever locker with … 
geometry
At Millock Highschool, there are 1,000 lockers and 1,000 students. The first day of school, all the students line up outside of the school and enter one at a time. The first student touches evry locker,the second student touches evry … 
math
im in sixth grade and im confused with this question.there are 44,000 people living in salem.(16,000~workers :2,000~preschoolers : 13,000~students : 4,000~retirees : 8,000~homemakers : 1,000~unemployed) *what fraction of the population … 
healthcare fiancare
HINT: 6% X $1,000,000 – {20% X ($1,000,000 – (6% X $1,000,000))} = 6% X $1,000,000 – {20% X ($1,000,000  $60,000))}= 6% X $1,000,000  {20% X $940,000}= 6% X $1,000,000  $188,000 = $60,000  $ 188,000= $128,000 A) The interst … 
English II
How does the author support her view that the lunch period at Mountain Vista High School should be extended? 
Business math
The clarkdell school system has three schools. School #1 has 500 students School #2 has 600 students School #3 has 400 students What part of a $15,000 allocation will go to school #2? 
Math
Reasoning Word Problem: A school's lockers are numbered 1100. One hundred students enter the school one at a time. The first student opens the lockers. The second student closes the evennumbered lockers. The third student either … 
Math Word Problem(PLEASE HELP NOW)
Reasoning Word Problem: A school's lockers are numbered 1100. One hundred students enter the school one at a time. The first student opens the lockers. The second student closes the evennumbered lockers. The third student either … 
maths
A contractor supplied some items to a school. The contractor's bill is shown below. If each amount includes 5% VAT calculate how much the government receives as VAT. Electrical fittings = #52 500.Stationery #84 000 ;sports equipments … 
Algrebra
A new high school has just been opened, with an enrollment of 1000 students. The school has 1000 lockers, numbered 1 to 1000, to accommodate them. On the first day of school all 1000 lockers are closed. The first student enters the …