Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
henpen
Group Title
How many integer n exist so that \[ \frac{n}{100n} \] is also an integer?
 2 years ago
 2 years ago
henpen Group Title
How many integer n exist so that \[ \frac{n}{100n} \] is also an integer?
 2 years ago
 2 years ago

This Question is Closed

henpen Group TitleBest ResponseYou've already chosen the best response.0
What is the general strategy to be adopted for 'How many integer n exist so that f(n) is also an integer?', other than bursts of insight?
 2 years ago

RadEn Group TitleBest ResponseYou've already chosen the best response.0
i think, trial error is the best way for this case
 2 years ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.3
suppose that for some integer k, \[k=\frac{ n }{ 100n }\] rearranging the equation we get \[n=\frac{ 100k }{ k+1 }\] and since k and k+1 are relatively prime, we conclude that \[(k+1)100\]
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.0
What does the notation (k+1)100 mean?
 2 years ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.3
(k+1) divides 100.
 2 years ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.3
when k = 0, n = 0. when k = 1, n = 50 when k = 3, n = 75
 2 years ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.3
there are more values for k, but the solution set is finite.
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.0
OK, thanks or that
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.