Which of the following statements is true about even numbers?

Which of the following statements is true about even numbers?

• A. They cannot be negative
• B. They are exclusively prime numbers
• C. Zero is considered an even number
• D. All even numbers are greater than zero

Answer: (C)

The statement that zero is considered an even number is true because even numbers are defined as integers that are divisible by 2 with no remainder. When you divide zero by 2, the result is zero, which satisfies the condition of evenness. This definition applies universally to both positive and negative numbers, as well as to zero. In contrast, the other options either present misconceptions or incorrect definitions of even numbers. For instance, even numbers can certainly be negative, such as -2 or -4. Additionally, the definition of prime numbers excludes even numbers except for the number two, as prime numbers are defined as having exactly two distinct positive divisors. Stating that all even numbers are greater than zero is inaccurate since even numbers also include negative values like -2, -4, etc. Thus, the statement that zero is an even number accurately represents the established mathematical definition of even numbers.

The statement that zero is considered an even number is true because even numbers are defined as integers that are divisible by 2 with no remainder. When you divide zero by 2, the result is zero, which satisfies the condition of evenness. This definition applies universally to both positive and negative numbers, as well as to zero.

In contrast, the other options either present misconceptions or incorrect definitions of even numbers. For instance, even numbers can certainly be negative, such as -2 or -4. Additionally, the definition of prime numbers excludes even numbers except for the number two, as prime numbers are defined as having exactly two distinct positive divisors. Stating that all even numbers are greater than zero is inaccurate since even numbers also include negative values like -2, -4, etc. Thus, the statement that zero is an even number accurately represents the established mathematical definition of even numbers.