[Authors] V. N. Malozemov and O. V. Prosekov [Title] Parametric version of the prime factors method [AMS Subj-class] 65T50 Discrete and fast Fourier transforms 15A23 Factorization of matrices [Abstract] Fast Fourier transform is based on a factorization of Fourier matrix into a product of sparse matrices with a special structure. These matrices, generally speaking, depend on some vector of parameters. In this paper we obtain a very deep parametric factorization of Fourier matrix in case of its order being presentable as a product of pairwise relatively prime factors. [Comments] Russian, LaTeX, 6 pp. [Contact e-mail] malv@math.spbu.ru sc2@pisem.net