Question

Q. What is Fundamental theorem of Arithmetic ??

Answer 1

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.

Answer 2

Heya!

Here is yr answer......

FUNDAMENTAL THEOREM OF ARITHMETIC :


The Fundamental theorem of arithmetic is also called as UNIQUE PRIME FACTORIZATION METHOD...

<> For a given positive integers a and b, there exist unique pair of integers q and r.... which satisfies ----

a = bq + r [ 0</=r</=b ]

<> It says that every composite no. can be factorized as a product of primes...

<> Actually it says more that... any given composite no. can be factorized as a product of prime nos. in a "UNIQUE" way , except for the order in which the primes occur..

<> For example, when we factorize 210 , we regard 2 × 3 × 5 × 7 as same as 3 × 7 × 5 × 2 or any other possible order in which these primes are written.. That is, given any composite no. there is one and only one way to write it as a product of primes,as long as we are not particular about the order in which the primes occur.

Hope it helps....

#BeBrainly...