  If the X(3872) is a loosely-bound molecule of the charm mesons D^0 \bar
D^{*0} and D^{*0} \bar D^0, it can decay through the decay of a constituent in
a hadronic channel with a nearby threshold, such as J/\psi \omega or J/\psi
\rho. The differential decay rates of the X into J/\psi \pi^+\pi^-, J/\psi
\pi^+\pi^-\pi^0, J/\psi \pi^0 \gamma, and J/\psi \gamma are calculated in terms
of X J/\psi \rho and X J/\psi \omega coupling constants using an effective
lagrangian that reproduces the decay rates of the \omega and the \rho. The
dependence of the coupling constants on the binding energy and the total width
of the X is determined by a factorization formula. Results from a model by
Swanson are used to predict the partial width of X into J/\psi \pi^+\pi^-\pi^0
as a function of the binding energy and the total width of the X.
