In Federalist No.10,how did James Madison propose to overcome the problem of factions?

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In Federalist No.10, James Madison proposed to overcome the problem of factions by adopting a system of representative government. He argued that in such a system, the interests of the community as a whole would be represented rather than the narrow interests of particular factions. By spreading power out among multiple representatives, the likelihood of any one faction gaining too much power was reduced.