Legal Question in Family Law in Texas

No. I've heard of 10 marriages, but I'm sure there are more.

However, in order to avoid bigamy, there must be a divorce between each marriage.

The law requires that a divorce cannot be entered until after a 60 cooling off period expires. A marriage license cannot be issued until 30 days after a divorce. So if you filed for divorce, you cannot remarry until after 90 days expires. So if you filed for divorce immediately after you marry, you have to wait 3 months to be married again. This works out to 4 marriages (and divorces) a year. If you start at 18 and stop at 60 this works out to 208. You can keep on going but at some point you are going to get tired or broke.