You must answer yes to that question. Even though it was only 5 weeks, you still worked for us. Make sure you make it completely clear in the application form and during the interview why you left, and what steps you have taken to ensure that it doesn't happen again.
Most of us went through extreme financial diffulties when we started, I know people who stayed at friends houses, and one who lived out of her car for a month! but we all made it through, and this includes some of the people interviewing and reviewing your application, so it may be hard to explain yourself out of this situation. One of the most important things they are looking for is honesty and integrity. By saying no, you are not being honest, and trust me their records go back a bit more than 5 years... try before Richard was born!
I know some of the recruiters though, and they are mostly very nice genuine and understanding people. So good luck!