Interesting because this is the same thing I've seen having worked for my first startup. They don't want much money, and want to keep it lean, yet that for some

Interesting because this is the same thing I've seen having worked for my first startup. They don't want much money, and want to keep it lean, yet that for some reason turns investors away because they're used to putting in millions and millions. How do you keep the size small, yet still get the funding you desperately need?