Solution Found!

Suppose a and b are integers that divide the integer c. If

Chapter 0, Problem 6E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Suppose a and b are integers that divide the integer c. If a and b are relatively prime, show that ab divides c. Show, by example, that if a and b are not relatively prime, then ab need not divide c.

Questions & Answers

QUESTION:

Suppose a and b are integers that divide the integer c. If a and b are relatively prime, show that ab divides c. Show, by example, that if a and b are not relatively prime, then ab need not divide c.

ANSWER:

Step 1 of 4

Given that  and  are the integers that divide .

This means that for some integers  and , we have,

                                                           

Assuming that  and  are relatively prime , we can write,

                                                           

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back