4. Suppose that 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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
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4. Suppose that 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.
Transcribed Image Text:4. Suppose that 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.
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