Where is the serial number on a Remington 30-06 model 742?

The serial number on a Remington 30-06 Model 742 is typically located on the left side of the receiver, just above the trigger guard. It may also be found on the barrel, near the receiver. Depending on the specific model and production year, it can sometimes be engraved on the bottom of the receiver as well. Always consult the owner's manual for precise details related to your specific firearm.