None of the provided responses are accurate. A key factor in the Mongols' rise to power was their exceptional military tactics and organization under the leadership of Genghis Khan. They were able to conquer large parts of Asia due to their superior cavalry, effective use of strategies like feigned retreats, and their ability to unite and mobilize various nomadic tribes. Additionally, their ability to adapt and incorporate new technologies and ideas from conquered civilizations also contributed to their success. The Mongols did not have a powerful navy, and the sacking of Constantinople was carried out by the Ottoman Empire, not the Mongols.