In a simple solution, I might have public interfaces and public factory classes, and internal implementation classes all in the same project.
In a more complicated solution, then to avoid a situation where project A depends on the interfaces in project B, and project B depends on the interfaces defined in project A, I might move the interfaces into a separate project which itself depends on nothing and which all other projects can depend on.
I practice "big systems can't be created from scratch: big systems which work are invariable found to have evolved from small systems which worked." So I might well start with a small and simple solution with the interfaces in the same project as the implementation, and then later (if and when it's found to be necessary) refactor that to move the interfaces into a separate assembly.
Then again there's packaging; you might develop separate projects, and repackage everything into a single assembly when you ship it.