I have a remington pump 22 with octagon barrel and serial number 35926 and was wondering how old it is

SOURCE: I have a Remington rifle which is a 22 caliber

Could use more info, such as markings on the barrel and or breach. The Remington rolling block type single shot goes back to the 1860'S. The first 22 calibers around 1888. The rolling block went through 8 changes. The different types or changes are where various pins and screws are located, size and shape of hammers and triggers. The New Model Number 4, made from 1890 - 1933 came standard in 22 cal. with a 22 1/2 inch Oct. barrel. It will have a small lever on the right side of the breach. Approx 50,000 of these where made between the years noted. You could very well have a model 1, 2 or a model 7, which will be rare if in very good shape as only 1000, No. 7's where made. Tracking the serial number will be hard unless you contact Remington.