The Inverse Theorem of Divisibility

Introduction

Divisibility is a foundational concept in number theory, providing a framework for understanding relationships between integers. A number $ a $ is said to be divisible by another number $ b $ if there exists an integer $ q $ such that $ a = bq $. This concept extends to more complex scenarios, including the study of prime factorizations and the properties of integers under modular arithmetic. The inverse theorem of divisibility,