Chinese Remainder Theorem

The Chinese Remainder Theorem is a mathematical concept that helps solve systems of congruences, which are equations that describe remainders when dividing by different numbers. It states that if you have several equations with different moduli (the numbers you're dividing by) that are pairwise coprime (no common factors), there's a unique solution that works for all equations. Essentially, it allows you to break down complex problems into simpler parts, making it easier to find a common answer. This theorem is widely used in computer science, cryptography, and number theory.