For all I know red factor suns are just very red suns. Birds are not "breeds" but species. You have breeds in domesticated animals such as dogs, cats, horses, cattle, sheep, goats, pigs, etc... Parrots are by far not domesticated, so they are species, and as long as they are not hybrids they are "pure".
Red factor suns are just very red suns... at least from what I know... probably came about from selectively breeding suns with quite a bit of red, but it's hard to say.... least bit here's a copule pics
http://www.birdcompanions.com/101406%20 ... 20pair.JPG
http://www.birdcompanions.com/091606%20 ... 20male.JPG