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Which of the following is NOT a property of even numbers?

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Question: Which of the following is NOT a property of even numbers?

Options:

  1. The sum of two even numbers is even.
  2. The product of two even numbers is even.
  3. An even number can be expressed as 2n, where n is an integer.
  4. An even number is always a prime number.

Correct Answer: An even number is always a prime number.

Solution: 

An even number is not always a prime number; in fact, the only even prime number is 2.

Which of the following is NOT a property of even numbers?

Practice Questions

Q1
Which of the following is NOT a property of even numbers?
  1. The sum of two even numbers is even.
  2. The product of two even numbers is even.
  3. An even number can be expressed as 2n, where n is an integer.
  4. An even number is always a prime number.

Questions & Step-by-Step Solutions

Which of the following is NOT a property of even numbers?
  • Step 1: Understand what an even number is. An even number is any integer that can be divided by 2 without leaving a remainder.
  • Step 2: List some examples of even numbers: 0, 2, 4, 6, 8, 10, etc.
  • Step 3: Understand what a prime number is. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
  • Step 4: Identify the even numbers that are also prime. The only even prime number is 2.
  • Step 5: Recognize that most even numbers (like 4, 6, 8, etc.) are not prime because they can be divided by numbers other than 1 and themselves.
  • Step 6: Conclude that the statement 'An even number is not always a prime number' is true, as most even numbers are not prime.
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