A closure device includes a first closure part which includes a base body and at least one closure element rotatably arranged on the base body about an axis of rotation. The at least one closure element includes a base body and at least one first locking portion arranged on the base body, and at least one second closure part which includes a base element and at least one second locking portion arranged on the base element. The first closure part and the at least one second closure part can be placed against each other along a placement direction.