Understanding Prime Numbers
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Questions and Answers

Which of the following statements correctly defines a prime number?

  • A natural number greater than 2 that has only two divisors.
  • A natural number greater than 1 that has exactly two divisors. (correct)
  • Any whole number that is not divisible by 2.
  • A number that has more than two divisors.
  • Which of the following numbers is classified as a prime number?

  • 5 (correct)
  • 10
  • 6
  • 4
  • Which of the following numbers is NOT a prime number?

  • 3
  • 2
  • 9 (correct)
  • 7
  • Which of the following statements about prime numbers is true?

    <p>The only even prime number is 2.</p> Signup and view all the answers

    How many prime numbers are between 1 and 10?

    <p>5</p> Signup and view all the answers

    Study Notes

    Prime Numbers Defined

    • A prime number is a natural number greater than 1.
    • It has precisely two divisors: 1 and itself.
    • Examples of prime numbers include 2, 3, and 5.

    Key Characteristics of Prime Numbers

    • Prime numbers are greater than 1.
    • They are divisible only by 1 and themselves.
    • They aren't divisible by any other natural numbers.

    Distinguishing Prime Numbers from Composite Numbers

    • Composite numbers are natural numbers greater than 1 that are not prime.
    • Composite numbers have more than two divisors.
    • For example, 4 is a composite number because it is divisible by 1, 2, and 4.

    Importance of Prime Numbers

    • Prime numbers are fundamental building blocks of the natural numbers.
    • Their properties are crucial in number theory and other areas of mathematics.
    • Prime numbers have diverse applications in fields like cryptography.

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    Description

    This quiz explores the definition and key characteristics of prime numbers. You will learn how to distinguish prime numbers from composite numbers and understand their importance in mathematics and applications such as cryptography. Test your knowledge on this fundamental aspect of number theory.

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