Final answer:
The factor pairs of the numbers listed are identified for each; prime numbers like 59 and 61 have only one factor pair, which is 1 and the number itself.
Step-by-step explanation:
To find the factor pairs of a number, we need to list all pairs of integers that multiply together to give the original number. A factor pair consists of two factors which, when multiplied together, result in the given number. This task involves both multiplication and basic number theory, often covered in middle school mathematics.
The factor pairs of the numbers in the list are:
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- 15: (1, 15), (3, 5)
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- 22: (1, 22), (2, 11)
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- 34: (1, 34), (2, 17)
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- 39: (1, 39), (3, 13)
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- 45: (1, 45), (3, 15), (5, 9)
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- 54: (1, 54), (2, 27), (3, 18), (6, 9)
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- 59: (1, 59) - Prime number, only one factor pair
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- 61: (1, 61) - Prime number, only one factor pair
Note that numbers like 59 and 61 are prime numbers and therefore only have one factor pair, which includes the number itself and 1.