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How to Calculate Prime Factorization of a Number.
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How to Calculate Prime Factorization of a Number.

Rosemary Njeri

Prime numbers are numbers that have only 2 factors 1 and themselves.

Prime factorization, integer factorization and factor decomposition of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.

Formula to calculate prime factorization.

Where;

  • N is any numberĀ 
  • X, Y, and Z are prime factors of number N.
  • a, b, and c are the exponents of prime factors X, Y, and Z respectively.

Example:

Find the prime factors of 30 using the prime factorization tree.

Prime Factorization of a Number.

Therefore, the prime factors of 30 are 2, 3 and 5. Since the factors have no exponents, it means that there is one 2, one 3 and one 5.

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