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Which of the following statements about prime numbers is true?

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Question: Which of the following statements about prime numbers is true?

Options:

  1. Every even number greater than 2 is prime.
  2. Prime numbers can only be divided by 1 and themselves.
  3. The number 1 is considered a prime number.
  4. There are infinitely many even prime numbers.

Correct Answer: Prime numbers can only be divided by 1 and themselves.

Solution:

Prime numbers are defined as numbers greater than 1 that have no divisors other than 1 and themselves.

Which of the following statements about prime numbers is true?

Practice Questions

Q1
Which of the following statements about prime numbers is true?
  1. Every even number greater than 2 is prime.
  2. Prime numbers can only be divided by 1 and themselves.
  3. The number 1 is considered a prime number.
  4. There are infinitely many even prime numbers.

Questions & Step-by-Step Solutions

Which of the following statements about prime numbers is true?
  • Step 1: Understand what a prime number is. A prime number is a number that is greater than 1.
  • Step 2: Know that a prime number can only be divided evenly by 1 and itself. This means it has no other divisors.
  • Step 3: Check if a number is prime by seeing if it can be divided by any number other than 1 and itself without leaving a remainder.
  • Step 4: Remember that the smallest prime number is 2, and it is also the only even prime number.
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