Dendric subshifts are a recently introduced generalization of both interval exchange transformations and Arnoux-Rauzy subshifts that preserve some of their main properties. In particular, it has shown to be the adequate framework for the design of low complexity multidimensional continued fraction algorithms, thus representing an exciting class of objects from dynamical, geometric, and combinatorial perspectives. In this talk, I will present new results concerning their dynamical factors and S-adic structure. This is a joint work with Julien Leroy and Pierre Stas.