valvalle,, you have uncovered something new to your shooting knowledge,, AND by doing so, have allowed others who haven't heard of "power factor" or it's use to get a good overview of what it means.
The explanations above delve into most of it,, and even truly point to the more technical info. All very good info for those unfamiliar with it.
As a long time USPSA competitor,, who prior to 1998 had very little knowledge of it as well, I got introduced to it's use. It is used in real gun competitions as a way of trying to level the playing field for competition. It's not a computer game thing,, it is real world.
When I started in 1998,, I discovered that USPSA had a way of "measuring" felt recoil by using what is known as power factor. The basic formula is "Bullet weight, X velocity, divided by 1000." And USPSA had what is known as "Major" & "Minor" power factor (p/f). It used to be,, for competition, the dividing line was a p/f of 175. Many years ago,, for the USPSA game,, it was reduced to 165.
When I started in USPSA,, I was using a 1911 in .45 acp. The most common bullet is a 230 grn round nose. Factory ammo usually chrono's at about 850-925 fps depending upon the maker. Using that, let's look at a factory p/f. Using a 230 grn bullet & the velocity of 850, we get; 230 x 850 =195500. Divide that number by 1000, and you get a p/f of 195.5. Or 20.5 points above the threshold required to make "Major." In USPSA,, the SCORING on a target is divided into different levels of points depending upon where you hit a target. No matter what p/f you are shooting,, a hit in the "A" zone gives you 5 points. BUT,, outside the "A" zone the score changes. A "B" or "C" zone hit,, the score is 4 points for major, and 3 for minor. A "D" zone hit is worth 2 points for major & 1 point for minor.
The concept of using p/f as a measuring device for USPSA is because a heavier bullet traveling faster has more recoil, while a lighter bullet traveling slower has less recoil. It translates into how fast a competitor can recover from each shot, and be back on target.
Using an extreme example,, compare it to how easy & fast you can shoot a .22 LR as compared to a .44 magnum.
In USPSA,, the way the scores are calculated is your score (points) divided by your time. That gives us a scoring method called "Hit Factor." Let's say a course of fire is designed to where you have 16 targets to be engaged with 2 rounds each. That's 32 rounds required. If all hits are in the "A" zone, the max number of points will be 160. But if competitor A shoots the course in 20.5 seconds,, and competitor B shoots it in 21.5 seconds, the Hit Factor will be higher for competitor A. Competitor A will have a h/f of 7.804, while competitor B will have a h/f of 7.441.
In USPSA,, the game is about combining speed & accuracy to be the winner.
So,, when a given caliber, load & recoil are all combined,, a competitor want something that will allow him to be as fast as possible. Power factor is a way to try & keep the scoring as close to equal as possible.
Most competitors reload,, and they build a load for their gun that meets the criteria for the necessary category. Nowadays,, with a p/f criteria at 165 for making "major" and to be legal, a p/f of 125 is required for "minor." So a reloader will try & build an accurate load where it's just above the threshold to make p/f,, to allow themselves the softer recoil and to be quicker on the recoil recovery for their next shots. In 9mm a shooter may be using a bullet of 147 at a velocity of 850 fps,, and would fail chrono. That makes it's p/f 124.95. but if they build a load with the velocity of 875 fps,, they get a p/f of 128.6. It passes. And using a 1911 in .45 acp,, using a 230 grn bullet at 725 fps,,will get a p/f of 166.7. It'll pass.
But most reloaders build in a small buffer for their ammo,, if it's too close to failing chrono. A .45, 230 grn going at 735 fps will get a p/f of 169.0 pf,, and easily pass chrono. If you shot a 9mm 147 grn bullet at 735 fps, the p/f would get a p/f of 108.0. VERY soft recoil & has a p/f difference of 61 points.
Now that I've detailed the how's & why's of it,, let's look at what actually happens.
By shooting a larger caliber even at slow speeds you get a higher p/f than a smaller lighter bullet going faster. The physics translate into energy & that's where recoil is at. That, and downrange,, a bullet going very slow is not as effective as one going faster in general.
In SASS competition,, they do not use p/f and you can see some REALLY light loads used. You can watch a bullet fly to the target.
I have watched a guy shooting .45 Colts,, with his stated velocity of "about 500 fps" and his bullets barely dinged the steel.
Power factor boils down to a more simple way of measuring energy when shooting. And it's a great way for the casual shooter to figure out a good load they can shoot AND be effective for what their intended use is.