Saros Cycle

If you have been doing research, do you use Wikipedia or Google? If you have, then you would have seen this:
http://en.wikipedia.org/wiki/Saros_(astronomy)

Yes, I have, both Spanish and English versions (I'm Spanish) but I still don't understand why it is divided in those numbers .
The thing is that I have (kind of) developed a function to predict lunar and solar eclipses and when I compare my results with wikipedia's they coincide but I have no division in "120" cycle or "180". I just can see when it occurs but not this subtype or whatever it is.

Where are you seeing those "120's" and "180's"? Is there a particular link you are working from?

http://en.wikipedia.org/wiki/Solar_Saros_136
This one for example, Saros 136

If you bothered to read the Wiki article, it states about the number 120:

"The saros is not an integer number of days, but contains the fraction of ⅓ of a day. Thus each successive eclipse in a saros series occurs about 8 hours later in the day. In the case of an eclipse of the Sun, this means that the region of visibility will shift westward about 120°, or about one third of the way around the globe, and the two eclipses will thus not be visible from the same place on Earth. In the case of an eclipse of the Moon, the next eclipse might still be visible from the same location as long as the Moon is above the horizon. Given three saros eclipse intervals, the local time of day of an eclipse will be nearly the same. This three saros interval (19,755.96 days) is known as a triple saros or exeligmos (Greek: "turn of the wheel") cycle."

The 180 number is half of 360...the degrees in a complete circle.

Thanks