Hard Problems on Prime Factorization and Divisors
- Smith Numbers
- Find numbers with n-divisors in a given range
- Pollard’s Rho Algorithm for Prime Factorization
- P-Smooth Numbers or P-friable Number
- Find sum of divisors of all the divisors of a natural number
- No of Factors of n!
- Print all prime factors and their powers
- Generation of n numbers with given set of factors
- Efficient program to print the number of factors of n numbers
- Ways to express a number as product of two different factors
- Sum of all divisors from 1 to n
- Prime factors of a big number
- Count Divisors of n in O(n^1/3)
Mathematical Algorithms – Prime Factorization and Divisors
In the Mathematical algorithm there are two fundamental mathematical algorithms that is prime factorization and finding divisors. Prime factorization is the process of breaking down a number into its prime factors, while finding divisors involves identifying all the numbers that can evenly divide the original number. These concepts are very important in various mathematical and computer science applications, from number theory to cryptography. In this article we will look into these algorithms with some practice problem.