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# C/C++ Program to find the Product of unique prime factors of a number?

The *unique prime factors* is a factor of the number that is a prime number too. In this problem, we have to find the product of all unique prime factors of a number. A *prime number* is a number that has only two factors, the number and one.

Here we will try to find the best way to calculate the product of unique prime factors of a number. let's take an example to make the problem more clear.

There is a number say n = 1092, we have to get the product of unique prime factors of this. The prime factors of 1092 are 2, 3, 7, 13 there product is 546.

2 to find this an easy approach will be to find all the factors of the number and check if the factor is a prime number. if it then multiplies it to the number and then returns the multiply variable.

Input: n = 10 Output: 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.

Using a loop from i = 2 to n and check if i is a factor of n then check if i is the prime number itself if yes then store the product in product variable and continue this process till i = n.

## Example

#include <iostream> using namespace std; int main() { int n = 10; long long int product = 1; for (int i = 2; i <= n; i++) { if (n % i == 0) { int isPrime = 1; for (int j = 2; j <= i / 2; j++) { if (i % j == 0) { isPrime = 0; break; } } if (isPrime) { product = product * i; } } } cout << product; return 0; }

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