Given a number N (greater than 2 ). The task is to find two distinct prime numbers whose product will be equal to the given number. There may be several combinations possible. Print only first such pair.
If it is not possible to express N as a product of two distinct primes, print “Not Possible”.
Input : N = 15 Output : 3, 5 3 and 5 are both primes and, 3*5 = 15 Input : N = 39 Output : 3, 13 3 and 13 are both primes and, 3*13 = 39
The idea is to find all the primes less than or equal to the given number N using Sieve of Eratosthenes. Once we have an array that tells all primes, we can traverse through this array to find a pair with a given product.
Below is the implementation of the above approach:
- Numbers less than N which are product of exactly two distinct prime numbers
- Find product of prime numbers between 1 to n
- Find the Product of first N Prime Numbers
- Distinct Prime Factors of Array Product
- Absolute difference between the Product of Non-Prime numbers and Prime numbers of an Array
- Exactly n distinct prime factor numbers from a to b
- Check if all sub-numbers have distinct Digit product
- Number of distinct prime factors of first n natural numbers
- Count of distinct sums that can be obtained by adding prime numbers from given arrays
- Product of all prime numbers in an Array
- Sum and product of k smallest and k largest prime numbers in the array
- Check if product of array containing prime numbers is a perfect square
- Find two numbers with sum and product both same as N
- Find two prime numbers with given sum
- Find if n can be written as product of k numbers
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