Final answer:
The factor pair of the number 72 that includes a prime number is 2 × 36, which corresponds to option D.Option D is the correct answer.
Step-by-step explanation:
The question asks to determine which factor pair of the number 72 has a prime number in it. Looking at the provided pairs, we want to find a pair where at least one of the numbers is prime. The factor pairs listed are:
2 × 36
4 × 18
6 × 12
8 × 9
Examining each number, we see that 2 is the only prime number in these pairs. Therefore, the factor pair that includes the prime number is 2 × 36, which corresponds to option D. It's important to note that we consider 2 a prime number because it has exactly two distinct natural number divisors: 1 and itself.
The factor pair of 72 that has a prime number is 2 × 36. The only prime number in this pair is 2. The other factor pairs (4 × 18, 6 × 12, and 8 × 9) do not have prime numbers as factors. Therefore, the correct answer is option D, 2 × 36. It's important to recognize that 2 is considered a prime number as it has exactly two distinct natural number divisors: 1 and itself.