Question

By whom the fundamental of theorem of arthematic is given and waht is this?​

Answer 1

Answer:

Euclid's original version

Euclid's original versionProposition 30 is referred to as Euclid's lemma, and it is the key in the proof of the fundamental theorem of arithmetic. Any composite number is measured by some prime number. (In modern terminology: every integer greater than one is divided evenly by some prime number.)

Answer 2

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:

The theorem says two things for this example: first, that 1200 can be represented as a product of primes, and second, that no matter how this is done, there will always be exactly four 2s, one 3, two 5s, and no other primes in the product.

The requirement that the factors be prime is necessary: factorizations containing composite numbers may not be unique (for example, {\displaystyle 12=2\cdot 6=3\cdot 4}{\displaystyle 12=2\cdot 6=3\cdot 4}).

This theorem is one of the main reasons why 1 is not considered a prime number: if 1 were prime, then factorization into primes would not be unique.