1) Quality 2) The capacity of being divided 
[ring theory] In mathematics, the notion of a divisor originally arose within the context of arithmetic of whole numbers. See the article on divisors for this simplest example. With the development of abstract rings, of which the integers are the archetype, the original notion of divisor found a natural extension. Divisibility is a useful c...
• (n.) The quality of being divisible; the property of bodies by which their parts are capable of separation.
Di·vis`i·bil'i·ty noun [ Confer French divisibilité .] The quality of being divisible; the property of bodies by which their parts are capable of separation. « Divisibility . . . is a primary attribute of matter.» Sir W. Hamilton. 
How easy it is to piece out and distribute a fixed weight of a certain product. Ex: Ten 1 Ounce Silver Bars are more divisible than One 10 Ounce Silver Bar.
noun the quality of being divisible; the capacity to be divided into parts or divided among a number of persons
The property in virtue of which a whole (whether physical, psychical or mathematical) may be divided into parts which do not thereby necessarily sever their relation with the whole. Divisibility usually implies not merely analysis or distinction of parts, but actual or potential resolution into parts. From the beginning philosophers have raised th....
the capacity of being divided. · the capacity of being evenly divided, without remainder.