Question

please explain fundamental theorem of arithmetic in easy and sensitive language​

Answer 1

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The Fundamental theorem of arithmetic, states that every integer greater than 1 either is prime itself or is the product of a unique combination of prime numbers.

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Answer 2

Answer:

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Fundamental theorem of arithmetic

The fundamental theorem of arithmetic (FTA), also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is prime itself or is the product of a unique combination of prime numbers.

Step-by-step explanation:

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Why is the fundamental theorem of arithmetic important?

The fundamental theorem of arithmetic is important because it tells us something important and not immediately obvious about Z (the ring of the counting numbers together with those numbers multiplied by 0 or −1). ... It doesn't matter if you consider numbers like −2, −3, −5, −7, etc., to be prime or not.

What is the formula of fundamental theorem of arithmetic?

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.

What is division algorithm Theorem?

A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of Euclidean division. Some are applied by hand, while others are employed by digital circuit designs and software.

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