# Find the smallest positive integer with exactly n

## 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

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 :

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

Step 5 of 5

#### Related chapters

Unlock Textbook Solution

Find the smallest positive integer with exactly n

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

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

I don't want to reset my password

Need help? Contact support

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