Question

why is fundamental theorem of arithmetic fundamental​

Answer 1

Step-by-step explanation:

The fundamental theorem of arithmetic states that every positive integer (except the number 1) can be represented in exactly one way apart from rearrangement as a product of one or more primes (Hardy and Wright 1979, pp. 2-3).

This theorem is also called the unique factorization theorem. The fundamental theorem of arithmetic is a corollary of the first of Euclid's theorems (Hardy and Wright 1979).

For rings more general than the complex polynomials C[x], there does not necessarily exist a unique factorization. However, a principal ideal domain is a structure for which the proof of the unique factorization property is sufficiently easy while being quite general and common.

Answer 2

Step-by-step explanation:

Secondary School 

 

Math 

 

5+3 pts

State fundamental theorem of arithmetic. explain it with no. 1176

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 by Simran86 17.06.2017

Answers





Padmasri1

Helping Hand

The fundamental theorem of arithmetic states that all prime numbers can be expressed as a product of primes. 

Eg. 1176

1176=2*2*2*3*7*7

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Golda

★ Brainly Teacher ★

Fundamental Theorem of Arithmetic :-

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.