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Question

Which of the following numbers is prime?
(a) 23
(b) 51
(c) 38
(d) 26

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Solution

(a) 23 = 1 × 23,
23 has only two factors 1 and 23, Therfore, it is a prime number.
(b) 51 = 1 × 3 × 17,
51 has three factors 1, 3 and 17, Therfore, it is a composite number.
(c) 38 = 1 × 2 × 19,
38 has three factors 1, 2 and 19, Therfore, it is a composite number.
(d) 26 = 1 × 2 × 13,
26 has three factors 1, 2 and 13, Therfore, it is a composite number.
Hence, the correct answer is option (a).


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