(b) Is 338 prime? If not, state the smallest prime number by which 338 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.

1. Write the number \(338\) as a product of factors. Notice that it is even, so it is divisible by \(2\): \[ 338 \div 2 = 169 \] 2. Since \(338 = 2 \times 169\), it is not a prime number because it has factors other than \(1\) and itself. 3. The smallest prime factor by which \(338\) is divisible is \(2\). Thus, the correct answer is: **A. The number is not prime. The smallest prime number that it is divisible by is \(2\).**