  We proved that a conformal immersion of $M_0^{n_0}\times M_1^{n_1}$ as an
hipersurface in a Euclidean space must be an extrinsic product of immersions,
under the assumption that $n_0, n_1 \geq 2$ and that $M^{n_0}_0\times
M^{n_1}_1$ is not conformally flat. We also stated a similar theorem for an
arbitrary number of factors, more precisely, a conformal immersion $f\colon
M^{n_0}_0 \times \cdots \times M^{n_k}_k \rightarrow \mathbb{R}^{n+k}$ must be
an extrinsic product of immersions if one of the factors admits a plane with
vanishing curvature and the remaining factors are not flat.
