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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