Medium Problems on Prime Factorization and Divisors
- Frugal Number
- Betrothed numbers
- Lemoine’s Conjecture
- k-th prime factor of a given number
- Prime Factorization using Sieve O(log n) for multiple queries
- Finding power of prime number p in n!
- Program for Mobius Function
- Ordered Prime Signature
- Fast inverse square root
- Maximum number of unique prime factors
- Common Divisors of Two Numbers
- Find largest prime factor of a number
- Find if n can be written as product of k numbers
- Product of unique prime factors of a number
- Check whether a number has exactly three distinct factors or not
- Determine whether a given number is a Hyperperfect Number
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.