Is there a standard minimum of dependents you can have to re-enlist to active duty, or is it even a factor at all?

I assume you mean is there a maximum (not minimum) number of dependents? No, the military does not discriminate based on the size of your family. It should not be a factor.

PO3 (Join to see) If you're looking for information about how dependents affect pay, here is a link to general pay calculator. http://paycharts.militarytimes.com

Not part of the equation Shipmate....