Find the smallest positive integer with exactly n

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Problem 46E Chapter 4.3

Discrete Mathematics and Its Applications | 7th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

4 5 0 239 Reviews
12
4
Problem 46E

Find the smallest positive integer with exactly n different positive factors when n is

a) 3.

b) 4.

c) 5.

d) 6.

e) 10.

Step-by-Step Solution:

Step 1 :

In this problem we have to find the smallest positive integer with n different positive factor.

Given the n values 3,4,5,6,10.

Given that ,

1 contain only one factor,

2 and 3 contain only 2 factor,

Thus 4 contain 3 factor such  has 1,2 and 4.

Hence ,

The smallest positive integer with factor 3 is 4.

Step 2 ;

      (b) Given that n=4

Number 5 contain only 2 factor

So 6 contain 4 factor such has 1,2,3,6.

Hence ,

The smallest positive integer with factor 4 is 6.

Step 3 :

      © Given that n=5

Since the number 16 contain 5 factor such has 1,2,4,8 and 16.

Hence ,

The smallest positive integer with factor 5 is 16.

Step 4 of 5

Chapter 4.3, Problem 46E is Solved
Step 5 of 5

Textbook: Discrete Mathematics and Its Applications
Edition: 7th
Author: Kenneth Rosen
ISBN: 9780073383095

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Find the smallest positive integer with exactly n

×
Log in to StudySoup
Get Full Access to Discrete Mathematics And Its Applications - 7th Edition - Chapter 4.3 - Problem 46e

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Discrete Mathematics And Its Applications - 7th Edition - Chapter 4.3 - Problem 46e
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here