Prime Factorization and GCF Quiz
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Questions and Answers

What is the correct prime factorization of 36?

  • $3^{3} \times 2^{1}$
  • $2^{3} \times 3^{2}$ (correct)
  • $2^{2} \times 3^{2}$
  • $2^{2} \times 3^{3}$
  • What is the result of $(-145) \div (-5)$?

  • -29
  • 29 (correct)
  • 5
  • 145
  • What is the value of the expression $3 \times 7 \times (-1) \times (-3)$?

  • -63
  • 21
  • 63 (correct)
  • 0
  • Which of the following expressions equals $2^{2} \times 3^{3}$?

    <p>29</p> Signup and view all the answers

    What is incorrect in the statement '$(-36)$ is incorrect'?

    <p>-36 is the result of an operation</p> Signup and view all the answers

    Study Notes

    Prime Factorization

    • The prime factorization of 36 is $2^{2} \times 3^{2}$
    • The prime factorization of 36 is not $2^{3} \times 3^{2}$
    • The prime factorization of 36 is not $2^{2} \times 3^{3}$

    Greatest Common Factor

    • The greatest common factor of 7, 28, 42 is 7.

    Calculations

    • (-145) / (-5) = 29
    • $3 \times 7 \times (-1) \times (-3) = 63$
    • $2^{2} \times 3^{3} = 29$ is incorrect
    • (-36) is incorrect.

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    Description

    Test your knowledge on prime factorization and greatest common factor (GCF) concepts. This quiz covers calculations involving prime factors, common factors, and basic arithmetic operations. Sharpen your skills with challenging questions and ensure you understand these essential math topics.

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