What are the factors (rules) in determining the cut for golf tournaments?

top 64 players after two rounds

The cut line is a fluid number that changes depending on how well, or poorly, the field is scoring. The cut line is never specifically known prior to a tournament's start. It is usually determined by announcing the number of places in the field that will constitute the cut line. For example, if there are 144 players in a field, the cut line might be announced as the top 60 players plus ties, along with all golfers within 10 shots of the lead. As the tournament progresses, the specific score required to make the cut will change based on the scores of the players who meet the criteria of the cut line. This is why, in broadcasts of tour events, the cut line might be shown as changing from +3 to +4 to +5 over time.

how obnoxious thier sox are!

normally it is the low 70 scores and ties

A predetermined number of players make the cut. All others who are tied with the high qualifier also make the cut.

The top half of the field advances to the next day.

the official PGA and USGA cuts are made by taking the top 70 players plus ties. This is usually about half of the field. The cut line changes at every event based on how well the feild is playing. The cut has been as low as -4 and as high as +8 in recent years.