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Questions and Answers
Which of the following statements about prime numbers is correct?
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?
Which of the following numbers is a composite number?
- 2
- 3
- 9 (correct)
- 5
What is the prime factorization of 8?
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?
Which of the following numbers is a prime number?
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What is the prime factorization of 7?
What is the prime factorization of 7?
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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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