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C-Plus-Plus/math
ewd00010 e3f0551f98 [fix/docs]: fit check_amicable_pair.cpp to guidelines (#2465)
* Quality of life

FIX:  initlized sum to 1 instead of adding it before return
CHORE: cleaned documentation aswell as adding new documentation, namespace math added

* Update math/check_amicable_pair.cpp

Co-authored-by: realstealthninja <68815218+realstealthninja@users.noreply.github.com>

* Update math/check_amicable_pair.cpp

Co-authored-by: David Leal <halfpacho@gmail.com>

* Update math/check_amicable_pair.cpp

Co-authored-by: David Leal <halfpacho@gmail.com>

* Update math/check_amicable_pair.cpp

Co-authored-by: David Leal <halfpacho@gmail.com>

* clang-format and clang-tidy fixes for bc87fea5

* clang-format and clang-tidy fixes for 0a19d1ad

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Co-authored-by: realstealthninja <68815218+realstealthninja@users.noreply.github.com>
Co-authored-by: David Leal <halfpacho@gmail.com>
Co-authored-by: github-actions[bot] <github-actions@users.noreply.github.com>
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Prime factorization

Prime Factorization is a very important and useful technique to factorize any number into its prime factors. It has various applications in the field of number theory.

The method of prime factorization involves two function calls. First: Calculating all the prime number up till a certain range using the standard Sieve of Eratosthenes.

Second: Using the prime numbers to reduce the the given number and thus find all its prime factors.

The complexity of the solution involves approx. O(n logn) in calculating sieve of eratosthenes O(log n) in calculating the prime factors of the number. So in total approx. O(n logn).

Requirements: For compile you need the compiler flag for C++ 11