  We present a powerful new approach to compute tree-level higher-point
holographic correlators. Our method only exploits the flat-space limit, where
we point out a novel and important simplification, and factorization of
amplitudes in AdS. In particular, it makes minimal use of supersymmetry,
crucial in all previous bootstrap methods. We demonstrate our method by
computing the six-point super gluon amplitude of super Yang-Mills in AdS$_5$.
