Prime vs Composite Numbers
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Questions and Answers

Which of the following statements about prime numbers is correct?

  • Prime numbers are always composite.
  • Prime numbers can be divided by any number.
  • Prime numbers are always even.
  • Prime numbers can only be divided by one and itself. (correct)
  • Which of the following numbers is a composite number?

  • 2
  • 3
  • 9 (correct)
  • 5
  • What is the prime factorization of 8?

  • 4
  • 2 \times 2 (correct)
  • 2
  • 2 \times 3
  • Which of the following numbers is a prime number?

    <p>19</p> Signup and view all the answers

    What is the prime factorization of 7?

    <p>7</p> Signup and view all the answers

    Study Notes

    Prime Numbers

    • A prime number is a positive integer that is divisible only by itself and 1.

    Composite Numbers

    • A composite number is a positive integer that has more than two distinct factors.
    • Example of a composite number: 4 (it has three factors: 1, 2, and 4)

    Prime Factorization

    • The prime factorization of 8 is 2 × 2 × 2.
    • The prime factorization of 7 is 7 (since 7 is a prime number).

    Identifying Prime Numbers

    • A prime number has exactly two distinct factors: 1 and itself.
    • Example of a prime number: 7 (it has only two factors: 1 and 7)

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    Description

    Learn about the difference between prime and composite numbers, and how to perform prime factorization in this informative quiz. Test your knowledge on number theory and discover the key characteristics of prime and composite numbers.

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