Is it permissible to throw an old rosary (subhah) that has broken and some of its beads are lost into the trash, or is that forbidden because it was used in the remembrance of Allah Almighty?

If the beads have no value, there is no harm in disposing of them by throwing them in the trash, unless they contain one of the names of Allah Almighty, or something from the Noble Qur’an, or remembrance of Allah Almighty, and glorifying with the fingers is better than using a rosary.