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To determine which of the numbers is prime, we need to check each one:
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27: This is not prime because it can be divided by 1, 3, 9, and 27 (3 * 9 = 27).
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54: This is not prime since it can be divided by 1, 2, 3, 6, 9, 18, and 54 (2 * 27 = 54).
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69: This is not prime as it can be divided by 1, 3, 23, and 69 (3 * 23 = 69).
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95: This is not prime because it can be divided by 1, 5, 19, and 95 (5 * 19 = 95).
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97: This number is prime because its only divisors are 1 and 97.
Therefore, the prime number among the given choices is:
(Choice E) \(97\)