Question

State and prove the Fundamental Theorem Arithmetic by means of proper examples.

Answer 1

The Fundamental Theoram of arithmetic states that the prime factotrisation of a composite number is unique i.e the prime factors of a particular composite number will be the same.  for example take the composite number 10.

10=5×2. 10 can only be expressed as the product of 5 and 2. THe prime factorisation of 10 is different than all other composite numbers. only the no:s can be rearranged for example it can also be written as 10=2×5

Answer 2

Answer:

Step-by-step explanation:

FUNDAMENTAL THEOREM OF ARITHMETIC :  

According to the fundamental theorem of arithmetic every composite number can be written or  factorized as the product of primes and this factorization is unique, apart from the order in which the prime factors occur.  

Fundamental theorem of arithmetic , is also called, UNIQUE FACTORIZATION THEOREM.

Composite number =  product of prime numbers

Or  

Any integer greater than one, either be a prime number or can be written as a product of prime factors.

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