Using Proof By Contradiction : Let’s assume ‘p’ is a prime number which is also a perfect number. Since ‘p’ is a prime number so its factors are 1 and p. Since ‘p’ is also a perfect number so, 1+p = 2p => p = 1. But, 1 is not a prime number. So it contradicts with our assumption. Therefore prime number cannot be a perfect number.
