Question

two applications of fundamental theorem of arithmetic

Answer 1

HeY!!!

The two Applications are:

1) Every composite number can be factorized as the product of certain prime numbers and this factorization is unique, although the order in which the prime factors occur may be changed.

2) For any two positive integers a and b:HCF (a, b) = Product of the smallest power of each common prime factor in the prime factorization of numbersLCM (a, b) = Product of the greatest power of each prime factor in the prime factorization of numbers.

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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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