The Catholic Rosary: There are 5 decades: 5x10= 50. There are 5 beads 1/each to announce the Mystery 5x1= 5. There are 5 beads 1/each for the opening prayers: 5x1=5. 50+5+5= 60 total beads. (However, if you were to pray an entire rosary you'd need a rosary with 4 times that many beads, as an Entire (or Full) Rosary is prayed with all 20 mysteries, meaning 220 beads plus the extra 5, so 225.) So, it doesn't look like 108 has anything to do with our Catholic Rosary. Blessings.