If it was manufactured prior to 1968 it probably doesn't have one. If it was made later, it should be someplace obvious on the bottom or side of the receiver. Try looking on the left side of the barrel, right under the model and cal. If it has one, it will be located there. The serial number may be located under the butt plate on the stock. I found mine there with a symbol I still cannot identify. The Model 25 has no serial number. It was made before serial numbers were required on .22 rifles
The number you are referring to is not the serial number. That number is the catalog number for Sears & Roebuck. The serial number is on the bottom of the rifle. V147XXX (example). These guns are essentially a Winchester 94 made for Sears & Roebuck Company produced between 1964 through 1978. There are no records available to confirm the exact year it was produced. Hope this helps.
Serial numbers are not normally found on the barrel, since by law the receiver (frame) is the gun- and a barrel is just "parts". By any chance is your 30-06 marked "J C Higgins" or "Ted Williams"? If so, that number is the Sears Roebuck model number. Many of the Sears branded rifles and shotguns do not HAVE a serial number- they were not required by US law until 1968. And yes, it is perfectly legal to own a gun that never had a serial number. REMOVING a serial number is not legal.
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