Chinese remainder theorem explained

In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of the division of n by the product of these integers, under the condition that the divisors are pairwise coprime (no two divisors share a common factor other than 1).^[1]

Notes and References

1. Web site: DLMF: §27.15 Chinese Remainder Theorem ‣ Applications ‣ Chapter 27 Functions of Number Theory . 2025-01-31 . dlmf.nist.gov.