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# Check if product of first N natural numbers is divisible by their sum in Python

Suppose we have a number n. We have to check whether the product of (1*2*...*n) is divisible by (1+2+...+n) or not

So, if the input is like num = 5, then the output will be True as (1*2*3*4*5) = 120 and (1+2+3+4+5) = 15, and 120 is divisible by 15.

To solve this, we will follow these steps −

- if num + 1 is prime, then
- return false

- return true

## Example

Let us see the following implementation to get better understanding −

def isPrime(num): if num > 1: for i in range(2, num): if num % i == 0: return False return True return False def solve(num): if isPrime(num + 1): return False return True num = 3 print(solve(num))

## Input

5

## Output

True

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