A recent experiment on the scattering of hadrons on carbon is analysed in a simple Regge-pole model. Use of carbon as a target allows a test of the factorization of the residue of each contributing Regge pole. Using as input the Regge residues given by a parametrization of the high-energy hadron-hadron cross-sections, together with the experimental values of the cross-sections σ(K−C)±σ(K+C) and$$\sigma \left( {\bar pC} \right) + \sigma \left( {pC} \right)$$ at one energy, we obtain the coupling constants of the Regge poles to the carbon nucleus and thus a prediction of$$\sigma \left( {\bar pC} \right) - \sigma \left( {pC} \right)$$ and σ(πC). A comparison with the data on these cross-sections reveals agreement to within the experimental and theoretical errors, but an examination of the real part of the amplitude reveals non-Regge-pole behaviour; thus the question of factorization of the P′ and Ω residues is not resolved.