Jim list three factor pairs of 54 as

Let's analyze the factor pairs of 54 that Jim listed:

1. 1 x 54

   • 1 is not considered a prime number.
   • 54 is not a prime number because it has factors other than 1 and itself (such as 2 x 27, for example).

2. 2 x 27

   • 2 is a prime number because its only positive divisors are 1 and 2.
   • 27 is not a prime number as it can be factored into 3 x 9 (and further into 3 x 3 x 3).

3. 6 x 9

   • 6 is not a prime number since it can be factored into 2 x 3.
   • 9 is not a prime number as it can be factored into 3 x 3.

Among the factor pairs listed, the factor pair 2 x 27 contains a prime number (2).

In summary:

• Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves.
• In the pairs listed, only 2 meets this definition of being a prime number.