Even Numbers

Definition

Even numbers are integers that are divisible by 2 without a remainder. They are a subset of whole numbers and are characterized by their ability to be evenly divided into two equal parts.

5 Must Know Facts For Your Next Test

1. Even numbers always end in 0, 2, 4, 6, or 8 when written in base 10.
2. The sum of any two even numbers is always an even number.
3. The difference between any two even numbers is always an even number.
4. The product of any two even numbers is always an even number.
5. Even numbers can be easily identified by checking if the last digit is divisible by 2.

Review Questions

• Explain how even numbers are defined and how they differ from odd numbers.
  • Even numbers are integers that are divisible by 2 without a remainder. They are a subset of whole numbers and are characterized by their ability to be evenly divided into two equal parts. In contrast, odd numbers are integers that are not divisible by 2 without a remainder, meaning they cannot be evenly divided into two equal parts.
• Describe the mathematical properties of even numbers, including their relationship to addition, subtraction, and multiplication.
  • Even numbers exhibit several unique mathematical properties. The sum of any two even numbers is always an even number, the difference between any two even numbers is always an even number, and the product of any two even numbers is always an even number. These properties stem from the fact that even numbers can be evenly divided by 2, allowing for the preservation of their even nature through various arithmetic operations.
• Analyze how the concept of even numbers relates to the broader context of whole numbers and their classification, including prime numbers and composite numbers.
  • Even numbers are a subset of whole numbers, which also include odd numbers. Within the realm of whole numbers, even numbers are further classified into prime numbers and composite numbers. Prime numbers are positive integers greater than 1 that have no positive divisors other than 1 and themselves, while composite numbers are positive integers that have at least one positive divisor other than 1 or the number itself. Understanding the relationship between even numbers and these other numerical classifications is crucial for comprehending the broader context of whole numbers and their properties.

Related terms

Odd Numbers: Odd numbers are integers that are not divisible by 2 without a remainder. They are the numbers that cannot be evenly divided into two equal parts.

Prime Numbers: Prime numbers are positive integers greater than 1 that have no positive divisors other than 1 and themselves.

Composite Numbers: Composite numbers are positive integers that have at least one positive divisor other than 1 or the number itself.