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Which of the following statements is correct ?

  • A.1 is a prime number
  • B.1 is a composite number
  • C.1 is both, a prime and a composite number
  • D.1 is neither prime nor a composite number

Answer: D

The correct statement is that 1 is neither prime nor a composite number.

A prime number has exactly two distinct factors, 1 and itself, and a composite number has more than two factors. The number 1 has only one factor, itself, so it fits neither definition.

Treating 1 as prime would also break the uniqueness of prime factorisation, since 6 could then be written as 2 × 3 or 1 × 2 × 3. The smallest prime is 2 and the smallest composite is 4.

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