Prime Factorization of 2,000 with a Factor Tree

Factor Tree building procedure:

  • Divide the given composite number by its smallest prime factor
  • If the resulting quotient is a composite number, divide it by its smallest prime factor
  • Repeat until resulting quotient is a prime number
Prime Factorization of 2,000 with a Factor Tree

Prime Factorization of 2,000: 2000 = 2 x 2 x 2 x 2 x 5 x 5 x 5
Prime Factorization of 2,000 in Exponential Form: 2000 = 24 x 53
Note: While the Prime Factorization of a Composite Number is unique, corresponding Factor Trees will differ if a different procedure is used

The solution above and other related solutions were provided by the Prime Factorization with a Factor Tree Application.  

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