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Phys."],"abstract":"<jats:title>A<jats:sc>bstract<\/jats:sc>\n                     <\/jats:title><jats:p>We continue to explore the bootstrap approach to five-point correlation functions for IIB supergravity on <jats:italic>AdS<\/jats:italic><jats:sub>5<\/jats:sub> \u00d7 <jats:italic>S<\/jats:italic><jats:sup>5<\/jats:sup>. Building on the result of [1], we develop an improved algorithm that allows us to more efficiently compute correlators of higher Kaluza-Klein modes. The new method uses only factorization and a superconformal twist, and is entirely within Mellin space where the analytic structure of holographic correlators is simpler. Using this method, we obtain in a closed form all five-point functions of the form \u2329<jats:italic>pp<\/jats:italic>222\u232a, extending the earlier result for <jats:italic>p<\/jats:italic> = 2. 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