What are the positive pair factors of 162?

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(1,162), (2,81), (3,54), (6,27), (9,18)

(1,162), (5,81), (4,54), (6,27), (8,18)

(1,162), (3,81), (3,53), (6,27), (9,28)

(1,162), (2,82), (3,52), (6,27), (9,17)

answer is D.

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Detailed Solution

162 = 2 x 3 x 3 x 3 x 3

We can obtain the pairs of factors from the above prime factorization.
For example, 162 = 2 x 81, so, 2 and 81 are a pair.

Similarly,
162= 1 x 162
162 = 2 x 81
162 = 3 x 54
162 = 6 x 27
162= 9 x 18

Therefore, the positive pair factors of 162 are (1,162), (2,81), (3,54), (6,27), (9,18).

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