Given a number n, we need to find the product of all of its unique prime factors. Prime factors: It is basically a factor of the number that is a prime number itself.
Input: num = 10 Output: Product is 10 Explanation: Here, the input number is 10 having only 2 prime factors and they are 5 and 2. And hence their product is 10. Input : num = 25 Output: Product is 5 Explanation: Here, for the input to be 25 we have only one unique prime factor i.e 5. And hence the required product is 5.
Method 1 (Simple)
Using a loop from i = 2 to n and check if i is a factor of n then check if i is prime number itself if yes then store product in product variable and continue this process till i = n.
Method 2 (Efficient) :
The idea is based on Efficient program to print all prime factors of a given number
Please refer complete article on Product of unique prime factors of a number for more details!