Glossary math Term Page

fundamental theorem of arithmetic

the theorem that such a factorization is unique up to order

fundamental-theorem-of-arithmetic #math#number-theory

Related Concepts

prime factorization prime number composite number greatest common divisor least common multiple divisor

Core Idea

fundamental theorem of arithmetic is the theorem that such a factorization is unique up to order. It usually makes the most sense alongside prime factorization, prime number, composite number.

Why It Matters Here

Mathbong reuses this term across number-theory posts as shared vocabulary.

Posts Mentioning This Concept

[Introduction to Number Theory Series Part 9] How Does Prime Factorization Reveal the Structure of Integers? Break integers into primes and see why the essential factorization is unique.[정수론 입문 시리즈 9편] 소인수분해는 정수의 구조를 어떻게 드러낼까? 정수를 소수들의 곱으로 분해하는 소인수분해와 그 유일성 아이디어를 통해 정수의 내부 구조를 읽는 방법을 정리합니다.[Introduction to Number Theory Series Part 10] How Is the Fundamental Theorem of Arithmetic Used in Actual Computation? Use prime factorization to count divisors and compute gcds and lcms structurally.