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Questions and Answers
What is the correct prime factorization of 36?
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 $(-145) \div (-5)$?
What is the result of $(-145) \div (-5)$?
- -29
- 29 (correct)
- 5
- 145
What is the value of the expression $3 \times 7 \times (-1) \times (-3)$?
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 $2^{2} \times 3^{3}$?
Which of the following expressions equals $2^{2} \times 3^{3}$?
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What is incorrect in the statement '$(-36)$ is incorrect'?
What is incorrect in the statement '$(-36)$ is incorrect'?
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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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