2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145921We solve a problem of Belousov which has been open since 1967: to characterize the loop isotopes of F-quasigroups. We show that every F-quasigroup has a Moufang loop isotope which is a central product of its nucleus and Moufang center. We then use the loop to reveal the structure of the associated F-quasigroup.24 pages. v.2 incorporates minor changes suggested by the referee. To appear in the Journal of AlgebraGroup Theory20N05text