Factorize_Direct

This functions calculates the unique factorization of a positive number into a product of primes raised to different powers. It uses the Primes function to directly find a prime number and test the division of n against it. This proves to be faster than the other prime decomposition function; the only limitation is the maximum number of primes stored within the Primes component.

While using this component, one cannot also include the Factorize component. This will generate a compiler error.

Example:

#include <codecogs/maths/discrete/number_theory/factorize_direct.h>
#include <iostream>
int main()
{
  std::vector<factor> result = Maths::NumberTheory::factorize_direct(65435);
  std::cout << "The factorization of 65435 into primes is" << std::endl;
  for (int i = 0; i < result.size(); i++)
    std::cout << result[i].value << "^" << result[i].power << "  ";
  std::cout << std::endl;
  return 0;
}

Output:

The factorization of 65435 into primes is
5^1  23^1  569^1

Returns