The numbers are on the balls, so two or more players who like to play the same type of ball can do so without the risk of confusing their ball with someone else's. e.g. if two players like to play 'Titlest' - both can, as long as each player declares, and uses, a different number Titilest. A box of new balls typically comes with 4 sleeves; numbered 1-4 or 5-8. Each sleeve contains 3 balls with the same number. You see, hitting another player's ball, and not your own, is a 2-stroke penalty. As an added precaution, in addition to playing different numbered balls, some players will also make their own distinctive marks on their balls; marks that can be seen no matter how the ball may be lying.
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The numbers on a precept Golf ball are for identification purposes only. They are usually quite high numbers which will not get confused with other golf balls. Taylormade are now doing a similar thing with their TP range where you choose your favourite number and you can have that on your ball.
The number on the golf ball means nothing. It is just a number like any other. It's simply a way to tell two of the same golf ball apart.
Ex. Two players are both playing a Titleist Pro V1. They both hit their shots Into the Woods in the same general area. One player is playing a Titleist Pro V1 with a number 2, the other is playing a number 1. It's just a way to tell the golf balls apart.
The numbers on golf clubs indicate the angle of the club face, and what kind of loft you would get. For example, a 3 iron will hit a ball longer with a flatter trajectory than a 9 iron, which will hit the ball a shorter distance with a high arching trajectory.
the number on golf balls doesn't mean anything to the ball like the performance and stuff, but what it does is it helps players recognise there ball.