Let, we have to find out whether 727 is a prime or not. Step 1: Find the smallest value of n, where n^{2}\\ge727              n=27 Step 2: Prime numbers (\\leq27): 2,3,5,7,11,13,17,19,23 Step 3: Check whether 727 is divisible by any of the given prime numbers or not.             Not divisible. So, we can say 727 is a Prime number.