divisible adj : capable of being or liable to be divided or separated; "even numbers are divisible by two"; "the Americans fought a bloody war to prove that their nation is not divisible" [ant: indivisible]

Divisible \Di*vis"i*ble\, a. [L. divisibilis, fr. dividere: cf. F. divisible. See Divide.] Capable of being divided or separated. Extended substance . . . is divisible into parts. --Sir W. Hamilton. Divisible contract (Law), a contract containing agreements one of which can be separated from the other. Divisible offense (Law), an offense containing a lesser offense in one of a greater grade, so that on the latter there can be an acquittal, while on the former there can be a conviction. -- Di*vis"i*ble*ness, n. -- Di*vis"i*bly, adv.

Divisible \Di*vis"i*ble\, n. A divisible substance. --Glanvill.

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In mathematics, a divisor of an integer n, also called a factor of n, is an integer which divides n without leaving a remainder.

The name "divisor" comes from the arithmetic operation of division: if a / b = c then a is the dividend, b the divisor, and c the quotient.

In general, for non-zero integers m and n, m divides n, written:

if there exists an integer k such that n = km. Thus, divisors can be negative as well as positive, although sometimes the term is restricted to positive divisors. (For example, there are six divisors of four, 1, 2, 4, −1, −2, −4, but only the positive ones would usually be mentioned, i.e. 1, 2, and 4.)

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