Question

State the fundamental theorem of arithmetic

Answer 1

Fundamental Theorem of Arithmetic states that every composite number greater than 1 can be expressed or factorized as a unique product of prime numbers (ignoring the order of the prime factors). It is also known as 'Unique Factorization Theorem' or the 'Unique Prime-Factorization Method.

Explanation :

Prime Factorization of 1176 = 2³ × 3 × 7² = 2 × 2 × 2 × 3 × 7 × 7

1176 is represented as a product of primes and in any order. We can write the prime factorization of a number in the form of powers of its prime factors.