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We show that the amenability of a locally compact group $G$ is equivalent toa factorization property of $VN(G)$ which is given by $ VN(G) =<VN(G)^*VN(G)>$. This answer partially two problems proposed by Z. Hu and M.Neufang in their article \textit{Distinguishing properties of Arensirregularity}, Proc. Amer. Math. Soc. 137 (2009), no. 5, 1753-1761.

Characterization of amenability by a factorization property of the group von Neumann algebra