[Author] Reinov O. I. [Title] Properties $\mathrm{AP}(l_p)$ and $l_p$-factorizations of operators [AMS Subj-class] 47B10 Hilbert--Schmidt operators, trace class operators, nuclear operators, p-summing operators, etc. [Abstract] We investigate a question: Is it true that if the adjoint to $T$ operator $T^*$ compactly factors through the space $l_p$, then the operator $T$ itself can be (strictly) factored through the space $l_{p'}$? [Comments] LaTeX, English, 5 pp. [Contact e-mail] orein@1146.spb.edu