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Questions and Answers
What is the first step in finding the total number of factors of $73^{3} - 40^{3} - 33^{3}$?
What is the first step in finding the total number of factors of $73^{3} - 40^{3} - 33^{3}$?
- Find the prime factorization of the expression $73^{3} - 40^{3} - 33^{3}$
- Factor the expression $73^{3} - 40^{3} - 33^{3}$ using the difference of cubes formula (correct)
- Calculate the value of the expression $73^{3} - 40^{3} - 33^{3}$
- Determine the greatest common factor of 73, 40, and 33
Which of the following is the correct factorization of the expression $73^{3} - 40^{3} - 33^{3}$ using the difference of cubes formula?
Which of the following is the correct factorization of the expression $73^{3} - 40^{3} - 33^{3}$ using the difference of cubes formula?
- (73 - 40 - 33)(73^{2} + 40^{2} + 33^{2})
- (73 - 40 - 33)(73^{2} + 73 * 40 + 40^{2} + 73 * 33 + 40 * 33 + 33^{2})
- (73 - 40)(73^{2} + 73 * 40 + 40^{2}) - (33)(33^{2})
- (73 - 40)(73^{2} + 73 * 40 + 40^{2}) - (33 - 40)(33^{2} + 33 * 40 + 40^{2}) (correct)
What is the prime factorization of the expression $73^{3} - 40^{3} - 33^{3}$?
What is the prime factorization of the expression $73^{3} - 40^{3} - 33^{3}$?
- 2^3 * 3 * 5 * 7 * 11^2 * 13
- 2^3 * 3 * 5^2 * 11 * 13 * 19
- 2^3 * 3 * 5 * 11 * 79
- 2^3 * 3 * 5 * 11 * 13 * 79 (correct)
How is the total number of factors of an integer calculated using its prime factorization?
How is the total number of factors of an integer calculated using its prime factorization?
What is the total number of factors of $73^{3} - 40^{3} - 33^{3}$?
What is the total number of factors of $73^{3} - 40^{3} - 33^{3}$?
Flashcards
Difference of Cubes
Difference of Cubes
A formula to factor expressions of the form a^3 - b^3.
Calculate 73^3 - 40^3 - 33^3
Calculate 73^3 - 40^3 - 33^3
Determine the value of the expression using the difference of cubes.
Finding Total Number of Factors
Finding Total Number of Factors
The total count of positive integers that divide a number evenly without a remainder.
Prime Factorization
Prime Factorization
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Options for the Answer
Options for the Answer
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Study Notes
Factor Calculation
- The problem asks for the total number of factors of 733.
- The solution is 96.
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