An apparatus and method for identifying sub-groups of execution resources for parallel pixel processing. For example, one embodiment of a method comprises: determining X and Y coordinates for a pixel block to be processed; performing a first set of one or more modulus operations using even bits from the X and Y coordinates to generate a first intermediate result; performing a second set of one or more modulus operations using odd bits from the X and Y coordinates to generate a second intermediate result; comparing the first intermediate result and the second intermediate result to generate a final result; and using the final result to select a first set of processing resources from a set of N processing resources for processing the pixel block.