Wednesday 22 January 2020

Fundamental Theorem of Arithmetic




Fundamental Theorem of Arithmetic


Every composite number can be written as the product of power of primes and this factorization is unique
                                          
Composite number = Product of primes

Example:
                                                          16 = 2×2×2×2
This is unique, We cannot express it in any other prime numbers

Note:
  • The prime Number can be repeated in the factorization
  • The order does not matter
  • The prime factorization of a natural number is unique, except for the order of its factors.



So,                                       168 = 2 X 2 X 2 X 3 X 7    
     



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