(d) Is 1774 prime? If not, state the smallest prime number by which 1774 is divisible. Select the correct choice below, and if necessary, fill in the answer box within your choice. A. The number is not prime. The smallest prime number that it is divisible by is B. The number is prime.

We test whether 1774 is prime by checking divisibility by the smallest primes. - First, check divisibility by 2. Since \(1774\) is even, it is divisible by 2: \[ 1774 \div 2 = 887. \] - This shows that \[ 1774 = 2 \times 887. \] - Since 2 is a prime factor and it divides 1774, the number is not prime. Thus, the correct choice is: A. The number is not prime. The smallest prime number that it is divisible by is \(2\).