Divisível

Divisível is a term used in mathematics to describe a relationship between two integers. An integer 'a' is considered divisible by another integer 'b' if the division of 'a' by 'b' results in an integer with no remainder. In other words, if 'a' divided by 'b' equals an integer 'k', then 'a' is divisible by 'b'. This can also be expressed as 'a = b * k' for some integer 'k'.

The concept of divisibility is fundamental to number theory. When an integer 'a' is divisible by 'b', 'b' is called a divisor or factor of 'a', and 'a' is called a multiple of 'b'. For example, 12 is divisible by 3 because 12 divided by 3 equals 4, which is an integer. Thus, 3 is a divisor of 12, and 12 is a multiple of 3.

Zero is a special case in divisibility. Any non-zero integer is divisible by itself. However, division by zero is undefined. Therefore, we typically consider divisibility for non-zero divisors. If an integer is not divisible by another integer, the division will result in a non-integer value, meaning there will be a remainder.

The properties of divisibility are important in many areas of mathematics, including prime factorization, greatest common divisor (GCD), and least common multiple (LCM). Understanding which numbers are divisible by others helps in simplifying fractions, solving equations, and analyzing the structure of numbers.