Table of Contents

## Even Numbers

**Even numbers** are exactly divisible by two and can be divided into two equal groups or pairs. 2, 4, 6, 8, 10, and so on are some examples. These figures can be paired up into equal groups. The digits 5, 7, 9, and 11 cannot be grouped in this manner, though. Therefore, the numbers 5, 7, 9, or 11 are not even. On this page, we’ll learn more about even numbers and their characteristics.

## What are Even Numbers?

A number that is a multiple of two is considered an even number. According to this definition, an even number is any number that can be divided in two equal parts. An example will assist in making this clear. If John has six balls, that is. He can pair all 6 balls and establish 3 pairs if he attempts to group them. Nothing is left unpaired in terms of balls. Since 6 is an even number, he can draw this conclusion. Let’s now divide six by two. The number of pairs that are created, or the quotient, is 3, which is the same. The number of balls that cannot be matched is equal to the remainder, which is obtained as 0, as shown. John’s attempts to couple always fail. John will always be left with NO ball if he tries to couple an even number of balls. To put it another way, anytime an even number is divided by 2, the result is always 0.

## How to Check if the Number is Even or Odd?

To check whether the given number is odd or even, one is required to check the number given at one’s (or unit’s) place. That particular number in one’s place will tell you whether the number is odd or even.

- Even numbers end with 0, 2, 4, 6, 8
- Odd Numbers end with 1, 3, 5, 7, 9

These are the simple tricks to identify the numbers whether they are even or not.

Think about the numbers 42, 248, and 356 which end with an even number i.e. 2, 8, and 6. Therefore, the given numbers 42, 248, and 356 are even numbers. Thus the numbers are not odd numbers. In the same way, 75, and 327 are odd numbers as they end with 5 and 7.

## Properties of Even Numbers

There are three properties of even numbers which are discussed in the table given below

PROPERTY NAME |
OPERATION |
EXAMPLE |

Property of addition | even + even = even | 2 + 2= 4 |

Property of subtraction | even – even = even | 8 – 6 = 2 |

Property of multiplication | even x even = even | 4 x 8 =32 |

### Property of addition

- Adding both even numbers will give the result of even numbers.
- Adding even and odd, the resultant will be odd.
- Adding both odd numbers will give the result of even numbers.

### Property of subtraction

- Subtracting even from even numbers will give the result of even numbers.
- Subtracting odd from even or even from odd, the resultant will be odd.
- Subtracting odd from odd numbers will give the result of odd numbers.

### Property of multiplication

- Multiplying even and even numbers will give the result of even numbers.
- Multiplying odd and even numbers, the resultant will be even.
- Multiplying odd and odd numbers will give the result of odd numbers.

## Even numbers from 1 to 100

The even numbers from 1 to 100 are given below

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100

## Even numbers chart from 1 to 100

A chart of even numbers from 1 to 100 is also given that can be saved for future reference

## Consecutive even numbers

The following are examples of consecutive even numbers: 2, 4, 6, 8, 10, 12, 14, and so on. Consecutive numbers are those that consistently follow one another in order, from the smallest to the largest. For instance, the natural numbers 1, 2, 3, 4, and so forth are all sequential. Therefore, we can list all even numbers in order from the smallest number to the largest number whenever we need to list consecutive even numbers. For instance, the even numbers 2, 4, 6, 8, 10, 12, 14, and so on are all consecutive even numbers.

## Even prime Numbers

Only one even prime number, 2, exists. Other than 1 and the number itself, all other even numbers include additional elements. For instance, 1, 2, and 4 are the factors of 4. As a result, the only even prime number is 2, which is rare.

**Related articles:**

## Solved examples of even numbers

Que. Write all the even numbers between 10 to 20.

Ans. Even numbers between 10 to 20 are 12, 14, 16, 18, and 20.

Que. Write any four consecutive even numbers between 21 to 29.

Ans. Take all the numbers = {22, 23, 24, 25, 26, 27, 28, 29}

Therefore, 22, 24, 26, and 28 are 4 consecutive even numbers.

Que. John has 40 toffees. He distributed 22 of those among his friends. Will he have an even number of toffees left? How do you know?

**Solution: **John distributed 22 toffees out of 40 toffees, so he had 18 left with him because 40 – 22 = 18. We know that 18 is a multiple of 2, thus, it is an even number. Therefore, he will have an even number of toffees left, that is 18.

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## Even Numbers- FAQs

**Que. What is an even number?**

Ans. A number that is a multiple of two is considered an even number.

**Que. What are odd and even numbers?**

Ans. Odd numbers are those which can not be divided into equal parts. Even numbers are those which can be divided into equal parts.

**Que. Is 1 an even number?**

Ans. No, 1 is not an even number.

**Que. Is 0 is even number or an odd number?**

Ans. 0 is an even number.

**Que. What is the smallest even number?**

Ans. The smallest positive natural number is 2.