How can a republican system of government help to overcome factions, local prejudices, and self-interest?

In large republics, factions will be numerous, but they will be weaker than in small, direct democracies where it is easier for factions to consolidate their strength. In this country, leaders of factions may be able to influence state governments to support unsound economic and political policies ­as the states, far from being abolished, retain much of their sovereignty. If the framers had abolished the state governments, the opponents of the proposed government would have a legitimate objection.