Factorizability
Factorizability refers to the property of a mathematical object, most commonly a number or a polynomial, that it can be expressed as a product of other objects of a similar type. For integers, factorizability means being able to write an integer as a product of two or more smaller integers, excluding 1 and the number itself. Numbers that cannot be factored in this way are called prime numbers. For example, 6 is factorizable because it can be written as 2 * 3, whereas 7 is not factorizable as it is a prime number.
In the context of polynomials, factorizability means that a polynomial can be expressed as a product of
The concept of factorizability is fundamental in number theory and algebra. It is closely related to unique