Types of Businesses Online version Chapter 3-Section 1 by Ms Rotteveel 1 Sole Proprietorship 2 Partnership 3 Corporation Buisness owned by one person. Owner responsible for all the company's debt Most Popular in the United States Owned by two or more people Least common type of business in the United States can be small or large A business that has the rights of an individual. Set up by a charter Is owned by stockholders.