There are several forms of business ownership including proprietorships, partnerships, and corporations. Proprietorships are owned and run by one person, partnerships are owned by two or more individuals who share profits and losses, and corporations are separate legal entities with stockholders and boards of directors. Other forms include limited liability partnerships, joint ventures, S-corporations, limited liability companies, nonprofits, franchises, and cooperatives. Each form has different legal requirements and structures regarding ownership, control, liability, and taxation.