  We present preliminary results of several searches for rare charmless
hadronic decays of the B meson using data collected by the BABAR detector at
the Stanford Linear Accelerator Center's PEP-II storage ring. We search for the
decays h^+h^-, h^+h^-h^+, h^+h^-pi^0, X^0h^+, and X^0 K_S^0, where h = pi or K,
and X^0 = eta^prime or omega. In a sample of 8.8 million B-anti-B decays we
measure the branching fractions: BF(B^0 --> pi^+pi^-) =
(9.3^{+2.6}_{-2.3}^{+1.2}_{-1.4}) x 10^{-6}, BF(B^0 --> K^+pi^-) =
(12.5^{+3.0}_{-2.6}^{+1.3}_{-1.7}) x 10^{-6}, BF(B^0 --> rho^-pi^+) = (49 +/-
13^{+6}_{-5}) x 10^{-6}$, and BF(B^+ --> eta^prime K^+) = (62 +/- 18 +/- 8) x
10^{-6}$. We calculate upper limits for the modes without a significant signal.
