It is known that limits on baryon-violating nucleon decays do not, in general, imply corresponding suppression of n −n transitions. In the context of a model with fermions propagating in higher dimensions, we investigate a related question, namely the implications of limits on ∆L = −1 proton and bound neutron decays mediated by four-fermion operators for rates of nucleon decays mediated by k-fermion operators with k = 6 and k = 8. These include a variety of nucleon and dinucleon decays to dilepton and trilepton final states with ∆L = −3, −2, 1, and 2. We carry out a lowenergy effective field theory analysis of relevant operators for these decays and show that, in this extra-dimensional model, the rates for these decays are strongly suppressed and hence are in accord with experimental limits.