Question

State the fundamental theorem of Arthemetic ​

Answer 1

Answer:

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers and that, moreover, this representation is unique, up to (except for) the order of the factors.....☺

Step-by-step explanation:

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Answer 2

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It states that every prime number can be expressed as a product of primes.

To understand it we need to know what is prime and composite Numbers in a unique way.

$\large\bullet\orange{\:\sf Prime \ Numbers}$

»» A prime Number is a number which cannot be divided by any other Number. That is it is a number which id divisible only by 1 and the number itself

Eg - 2,3,5,7,11 etc...

$\large\bullet\red{\:\sf Composite \ Numbers}$

»» A Composite Number is a number which can be divided by other Numbers.That is it can be shown as a product of primes.

Eg - 10 , Here 10 can be shown as 2×5

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