A prime number is a number that has only two factors: 1 and itself For example, the number 7 has two factors: 1,7 This makes 7 a prime number Since the number has to be greater than 50, we can go to the next whole number; 51 51 has four factors, 1,3,17,51 This is not our prime number 52 is even so obviously it's not prime because you can divide by two 53 has only two factors; 1,53 This means that its prime and the answer is 53 :) If you have any questions feel free to ask