Among the factor pairs of 72 that Jesse listed:
- \(2 \times 36\) (2 is prime)
- \(4 \times 18\) (neither is prime)
- \(6 \times 12\) (neither is prime)
- \(8 \times 9\) (neither is prime)
The factor pair \(2 \times 36\) includes the prime number 2. Therefore, this is the factor pair that contains a prime number.