Oszthatók

Oszthatók is a term used in Hungarian mathematics to describe numbers that are divisible by another specific number. It directly translates to "divisible" or "shareable." When a number 'a' is osztható by another number 'b', it means that when 'a' is divided by 'b', the result is a whole number with no remainder. This concept is fundamental to understanding factors, multiples, and prime factorization.

For example, the number 12 is osztható by 2, 3, 4, and 6, as well as by 1 and 12 itself. These numbers that divide 12 without a remainder are called its divisors or factors. Conversely, 12 is a multiple of 2, 3, 4, and 6. The relationship of being osztható is always defined between two integers.

Understanding oszthatók is crucial for various arithmetic operations and number theory concepts. It forms the basis for identifying prime numbers (numbers only osztható by 1 and themselves) and composite numbers (numbers with more than two oszthatók). The study of divisibility rules, which are shortcuts to determine if a number is osztható by certain small integers like 2, 3, 5, or 10, is a direct application of this principle. The concept extends to more complex mathematical fields, playing a role in modular arithmetic and abstract algebra.