# Even Numbers

Odd numbers cannot be divided by two exactly, whereas even numbers are integers that can be divided by two exactly. Even numbers include 2, 6, 10, 20, and 50, for instance. This lecture went into great length on the idea of even numbers. Along with the definition of an even number, practice problems and solved examples are provided for other crucial ideas such as the first 50 even numbers chart, even numbers up to 100, and addition, division, and subtraction properties.

## What is an Even Number?

An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14. These are even numbers because they are simple to divide by two. It is important to remember that 2 is the smallest positive even natural number. An odd number is one that you choose that cannot be split by two. Examples include 1, 3, 5, 7, 9, etc.

Thus, even and odd numbers can be used to categorize all numbers. It follows that a number must either be even or odd.

### How to Know If a Number is Even or Odd?

You must check the supplied number in its position of one (or unit) to determine whether it is odd or even. You can determine if a number is odd or even by substituting that specific number in its place.

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

These are some easy methods for determining whether a number is even or not.

Consider the number 3, 845, and 917, which has an odd number at the conclusion (i.e., 3, 5, and 7). The digits 3, 845, and 917 are odd numbers as a result. As a result, the number is not even. Similar to how 8 is an even number since it finishes in 8 and 2, 322 is also.

List of Even Numbers up to 100

The even numbers list up to 100 is 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

Also, have a look at the even numbers chart up to 100.

## Properties of Even Numbers

3 Most important properties of even numbers are given below:

When even and odd are added (or vice versa), the result is always an odd number.

Ex: 8 + 5 = 13,

5 + 18 = 23

Even and even are always added to get an even number.

Ex: 12+8 = 20

The result of adding odd and odd is always even.

Ex: 13 + 9 = 22

### Property of Subtraction

• When you subtract even from odd (or vice versa), the result is always an odd number.

Ex: 7 – 4 = 3,

10 – 5 = 5

• Even can never be subtracted from even without leaving an even number behind.

Ex: 16 – 6 = 10

• Even numbers always result from subtracting odd numbers from odd numbers.

Ex: 21 – 13 = 8

### Property of Multiplication

• Even numbers will always come from multiplying even and even.

Ex: 6 × 4 = 24,

12 × 4 = 48

• Even numbers are produced by multiplying even and odd numbers.

Ex: 4 × 5 = 20,

6 × 3 = 18

• Odd numbers will always result from multiplying other odd numbers.

Ex: 3 × 5 = 15,

5 × 9 = 45

### Even numbers between 50 and 70

The list of even numbers between 50 and 70 is shown below.

52, 54, 56, 58, 60, 62, 64, 66, 68

There are therefore nine even numbers between 50 and 70 in total.
For a better understanding, go through the examples and solutions for even numbers provided below.

### Even Numbers Solved Problems

Figure 1:

Are there any even entire numbers?

Solution:

No, the list of whole numbers that may be divided exactly in two is what is known as the even numbers.

Figure 2:

Enter any four even numbers between 11 and 19 in a row.

Solution:

Let A = {11, 12, 13, 14, 15, 16, 17, 18, 19}

12, 14, 16, and 18 are four straight even numbers as a result.

Figure 3:

Select the right response. combining two even numbers to get

a) The number is always even.

B) is consistently an odd number.

c) is occasionally odd and occasionally even.

d) Could be neither odd nor even.

Solution:

The correct answer is option a). Even number + Even number = Even number

### Worksheet on Even Numbers

1. What are the even numbers from 1 to 100?
2. How to know if a number is even?
3. What is the first even number?
4. Why zero is an even number?
5. What is the smallest even number?

If everything has to do with even numbers. Continue visiting Knowledge Glow and sign up right away to practice even numbers more and learn about other math concepts like odd numbers, the number system, square numbers, triangle numbers, etc.

### FAQ-Frequently Asked Questions on Even Numbers

What does math’s even number mean?
An even number is one that can be divided into two equal pieces, or into two halves. Alternatively, as even integers are exactly divisible by 2, the remainder will always be zero.
Is the number two even?
Since 2 is exactly divisible by 2, it is true that 2 is an even number.

What are the even numbers between 1 and 50?

The list of even numbers between 1 and 50 are:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48

Which prime number is even?
The only even prime number is two.
How is the general form of an even number written?
An even number has the generic form 2k, where k is any integer.
Is the number 0 an even number?
Yes, zero is an even number because it can be divided by two and has a remainder of zero.

Is the number 41 even?
41 is definitely not an even number. When 41 is divided by 2, there remains a leftover of 1, making it an odd number.

List even consecutive numbers from 21 to 31 in descending order.
22, 24, 26, 28, and 30 make up a list of even consecutive numbers between 21 and 31.

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