A community for students.
Here's the question you clicked on:
 0 viewing
JMark
 one year ago
Hi can you please help me to solve this prob?
Find the number divisors of 240
JMark
 one year ago
Hi can you please help me to solve this prob? Find the number divisors of 240

This Question is Closed

AlexandervonHumboldt2
 one year ago
Best ResponseYou've already chosen the best response.3the first divisor is 2: 240/2=120 120/2=60 60/2=30 30/2=15 15/3=5 5/5=1 each time you divide new number by the it's smallest divisor: thus your divisors are 2, 4, 8, 16, 6, 10, 48, 30, 15, 60, 5, 120, 240, 1, 3, 80 , 24, 12, 20, 40, that's all if i didn't forgot anything prime factorization is 2*2*2*2*3*5

AlexandervonHumboldt2
 one year ago
Best ResponseYou've already chosen the best response.3to find divisors of 240, first write it's prime factorization, then calculate all of the combinations between the prime factors

mom.
 one year ago
Best ResponseYou've already chosen the best response.2what kind of divisors? 2.4 is also a divisor :)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3\(240 = 2^4*3*5\) So, any divisor of \(240\) will be of form \(2^a*3^b*5^c\), where \(0\le a\le 4\) and \(~0\le b,c\le 1\)

AlexandervonHumboldt2
 one year ago
Best ResponseYou've already chosen the best response.3yeah gane is right

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2mom=Mars Orbiter Mission

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3Notice that we can choose the exponent \(a\) in \(5\) ways, \(b\) in \(2\) ways, \(c\) in \(2\) ways therefore total number of positive divisors = \(5*2*2=20\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2i learnt this stuff 1 year ago here now i forgot it

AlexandervonHumboldt2
 one year ago
Best ResponseYou've already chosen the best response.3looks like Mister.Mark is not in a hurry to see our explanations @JMark

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2i just remembered the pattern (a+1)(b+1)(c+1)....=no of divisors

mom.
 one year ago
Best ResponseYou've already chosen the best response.2looks like he did it himself (;
Ask your own question
Sign UpFind more explanations on OpenStudy
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.