How did Madison explain the concept of faction?

James Madison explained the concept of faction in Federalist No. 10, where he defined factions as groups of citizens united by shared interests that could potentially undermine the rights of others or the common good. He argued that factions are inevitable due to the diverse nature of human interests and opinions. To mitigate their effects, Madison advocated for a large republic where a variety of factions would compete for influence, making it difficult for any single faction to dominate and impose its will on others. This system would promote a balance of power and protect individual liberties.