Note, with my above setup, it is very easy to transition from testing the many worlds hypothesis, to actually using it to your advantage. Want to factor a large number? Randomly sample the solution space on your computer, detonating only if the random sample isn't a solution. (Make sure to implement an initial fail-safe probability in case no solution exists!)

There's an old joke about this related to the problem of sorting lists. A proposed sorting method is to take what you want, and randomly rearrange it. If that isn't sorted, destroy the universe.

Your approach seems directly inferior from a utilitarian perspective because it will lead to many universes where not only did you fail to factor it but the rest of us will miss your company (and be stuck cleaning up a large mess).