Properties of Even and Odd Numbers

While performing the operations with odd and even numbers we can observe some trend in the result. These trends result in the properties of the even number and odd numbers. The properties of odd and even numbers are tabulated in the table below:

Properties

Example

Even + Even = Even

4 + 2 = 6

Even + Odd = Odd

6 + 3 = 9

Even – Even = Even

12 – 10 = 2

Even – Odd = Odd

8 – 3 = 5

Even × Even = Even

6 × 2 = 12

Even × Odd = Even

8 × 3 = 24

(Even)n = Even

(2)5 = 32

Odd + Odd = Even

7 + 3 = 10

Odd + Even = Odd

3 + 4 = 7

Odd – Odd = Even

9 – 7 = 2

Odd – Even = Odd

13 – 4 = 9

Odd × Odd = Odd

9 × 3 = 27

Odd × Even = Even

7 × 4 = 28

(Odd)n = Odd

(3)4 = 81

Odd and Even Numbers

Even and Odd Numbers are distinct groups of whole numbers that are classed as odd or even based on specific properties. Even Numbers are those which are exactly divisible by 2 on the other hand Odd Numbers are those that are not exactly divisible by 2. The even and odd numbers are arranged alternatively in the number system. It should be pointed out that no number can be both even and odd.

There exists a significant difference between the even and the odd numbers. In this article, we will learn about what are even and odd numbers and what is the difference between odd and even numbers in detail.

Table of Content

  • What are Even Numbers?
  • Even Number Examples
  • What are Odd Numbers?
  • Odd Number Examples
  • Properties of Even and Odd Numbers
  • Difference between Odd and Even Number
    • Tips on Even and Odd Numbers
  • How to Find Even and Odd Numbers?
  • Solved Examples on Even and Odd Numbers
  • Practice Questions on Odd and Even Numbers

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What are Even Numbers?

Even numbers are those numbers whenever divided by two will result in zero as the remainder. If we are given a number and if it is exactly divisible by 2 i.e. gives zero as the remainder then it is an even number. We can identify even numbers by remembering that the last digit of an even number will always be 0, 2, 4, 6, or 8....

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Even numbers are integers that have a remainder of zero when divided by two. It has the form 2n, where n can be any integer....

What are Odd Numbers?

In mathematics, odd numbers are numbers which when divided by two result a remainder as one. If we are given a number and divide it by two and will result in the remainder is one, then it is an odd number. The approach to identifying odd numbers is that the odd number’s last digit is always 1, 3, 5, 7, or 9. It can be written in form of 2n+1, where n can be any integer number....

Odd Number Examples

There are an infinite number of odd numbers, hence it is impossible to list them all. However, we may list the initial odd numbers, which contain both positive odd numbers like 1, 3, 5, 7, 9, and so on, going to infinity, and negative odd numbers like -1, -3, -5, -7, -9, and so on, reaching to negative infinity....

Properties of Even and Odd Numbers

While performing the operations with odd and even numbers we can observe some trend in the result. These trends result in the properties of the even number and odd numbers. The properties of odd and even numbers are tabulated in the table below:...

Difference between Odd and Even Number

We have learnt what are even and odd numbers. Now we will learn the differences between odd and even numbers. The differences between odd and even numbers are tabulated below:...

How to Find Even and Odd Numbers?

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Solved Examples on Even and Odd Numbers

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Practice Questions on Odd and Even Numbers

Q1. How many Even and Odd Numbers are between 1 to 50? Q2. Find the sum of first 5 odd numbers Q3. Find the sum of first 5 even numbers Q4. Verify that sum of two even number is always even Q5. Check if product of a odd and even number is even or odd....

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What are Odd and Even Numbers?...

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