This course explores the fundamental law of arithmetic, aiming to equip students with a profound understanding of this subject. Arithmetic states that every integer greater than 1 is either prime itself or can be uniquely represented as a product of prime numbers, regardless of the order of the factors. In mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer greater than 1 is prime or can be represented uniquely as a product of prime numbers, up to the order of the factors.