Why does a voltage divider require two resistors?

Hi Leeroy, an ideal voltage source will not reduce it's voltage when a load resistor is attached to it. Of course, your experience in life is that when a resistor is placed across a battery, the voltage will slowly drop, as the battery becomes flat. The idea of a "voltage divider" is not to draw a large current, but rather to provide a voltage source at a voltage which is less than the primary voltage. Consider a guy standing on a cliff-top holding a rock, and then another guy standing on a ledge, halfway down the cliff with a similar rock. The potential energy of the rock on the top of the cliff will be double that of the rock on the ledge halfway down the cliff. Part of the cliff is above the ledge and part is below the ledge. These parts of the cliff represent the two resistors. Hope that isn't too confusing (and helps). Remember Voltage is Electrical Potential Energy.