@spendius,
In the NFL, a touchdown (TD) is worth 6 points. That is followed by the kicker for the scoring team getting to make a short little kick through the goal post for 1 extra point (called a PAT). Rarely missed, so a TD is really worth 7 points.
A field goal (FG) earns 3 points. That occurs when a team on offense marches down the field but runs out of steam. The kicker tries to put the ball through the goal post from up to as much as 50 yards away
If a team on offense gets tackled in its own end zone that is called a safety (S) and gives the defensive team 2 points. It is very rare.
So, in predicting a team's total score, 1 is impossible, 2 would be rare, 3 works but would indicate a pretty inept team, 4 would be twice as rare as 2, 5 doesn't work, 6 would be 2 FG's, 7 is one TD, both doable. 8 (as George noted) would be 2FG + the rare safety. 9 is 3 FG's which would be unusual. 10 works, 11 doesn't.
Everything - for the most part - above that is possible, I guess, using 7's and 3's except for some in the mid teens.