Here's what rhymes with factorye.
awry by my high why die dry lie thy try y buy guy tie vi hi shy sigh bi bye chi dye fi hy nigh pi pie thai thigh vie dei ly ply psi quae rye ty wir hai lye mai muy nai pry tri trie wry cy fy kai lai luy mei pri sy tai thei wai phi turfy apply cry fly sky deny occupy defy spy certify fry goodbye sly underlie belie untie codify edify sty aquae bonsai deify spry amebae stye lanai slier supply reply imply justify rely satisfy comply modify alkali signify gratify notify alibi amplify magnify pacify ratify rectify samurai standby decry pupae termini terrify typify amoebae overlie ossify retry stultify stupefy scurfy shanghai ripply speechify banzais overbuy dandify thereby nearby whereby clarify hereby multiply nuclei qualify specify classify simplify testify verify butterfly glorify purify alveoli fortify nullify unify falsify lullaby solidify crucify descry dignify liquefy mollify ramify vilify acidify firefly mystify stratify triply ultrahigh vivify blowfly calcify horrify petrify liquify overfly scarify versify barfly hyperbolae mummify prettify vitrify beatify drachmai yuppify identify stimuli quantify diversify beautify mortify objectify oversupply personify resupply detoxify electrify preoccupy emulsify misapply reunify dissatisfy syllabify exemplify intensify indemnify demystify dragonfly revivify cumuli declassify gentrify refortify solemnify disqualify reclassify misidentify transmogrify oversimplify