The correct factors influencing ocean currents are the rotation of the Earth, air pressure and wind, and the density of ocean water. The Earth's rotation (Coriolis effect) causes currents to be deflected, shaping their paths, while wind patterns drive surface currents, creating upwelling and downwelling phenomena. Additionally, variations in water density, influenced by temperature and salinity (thermohaline circulation), play a crucial role in driving deep ocean currents, contributing to the global conveyor belt that regulates climate and marine ecosystems.