Multiplicative Number Theory

Multiplicative Number Theory is a branch of mathematics that studies integers and their properties, particularly focusing on how numbers can be expressed as products of prime factors. This area examines concepts like divisibility, prime numbers, and functions that describe the distribution of primes. A key aspect is understanding how numbers multiply, especially how they can relate through their factors. For example, it explores questions about the number of divisors of a number, or the patterns in prime numbers. The insights gained have important implications in areas like cryptography and number-based algorithms.