bölünebilen

bölünebilen is a Turkish word that translates to "divisible" in English. It is a fundamental concept in arithmetic and number theory. A number is considered bölünebilen by another number if the division results in a whole number with no remainder. For example, 12 is bölünebilen by 3 because 12 divided by 3 equals 4, which is an integer. Conversely, 12 is not bölünebilen by 5, as 12 divided by 5 equals 2 with a remainder of 2.

The concept of bölünebilen is closely related to factors and multiples. If a number 'a' is bölünebilen by a number 'b', then 'b' is a factor (or divisor) of 'a', and 'a' is a multiple of 'b'. Understanding divisibility is crucial for various mathematical operations, including simplification of fractions, finding the greatest common divisor (GCD), and the least common multiple (LCM).

There are specific rules and tests for divisibility by certain numbers, such as 2, 3, 5, and 10, which help in quickly determining if one number is bölünebilen by another without performing the full division. These rules are based on the patterns of the number's digits. For instance, a number is bölünebilen by 10 if its last digit is 0. The study of bölünebilen forms the basis for many advanced mathematical topics.