<p>We study factorizations of linear relations through idempotent relations, including projections and multivalued projections. Using the concept of linear selections, we extend classical Douglas-type factorizations to the setting of linear relations and provide conditions under which a relation can be expressed as a product involving an idempotent factor. Finally, we characterize products of multivalued projections, extending known operator factorizations to the more general framework of linear relations.</p>