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We present a solvable ladder model which displays magnetization plateaus atfractional values of the total magnetization. Plateau signatures are also shownto exist along special lines. The model has isotropic Heisenberg interactionswith additional many-body terms. The phase diagram can be calculated exactlyfor all values of the rung coupling and the magnetic field. We also derive theanomalous behaviour of the susceptibility near the plateau boundaries. There isgood agreement with the phase diagram obtained recently for the pure Heisenbergladders by numerical and perturbative techniques.Comment: 4 pages, revtex, 3 postscript figures, small changes to the text and  references update

Magnetization plateaus in a solvable 3-leg spin ladder