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What Is An Even Integer

Even Numbers are integers that are exactly divisible by two, whereas an odd number cannot be exactly divided by 2. The examples of even numbers are 2, 6, 10, 20, 50, etc.The concept of even number has been covered in this lesson in a detailed way. Along with the definition of the even number, the other important concepts like commencement fifty even numbers nautical chart, even numbers upwardly to 100, properties of add-on, division, and subtraction are also covered along with solved examples and practise questions.

Table of Contents:

  • Definition
  • Listing
  • Properties
    • Property of Addition
    • Holding of Subtraction
    • Property of Multiplication
  • Even Numbers between 50 and 70
  • Examples
  • Worksheet
  • FAQs

What is an Even Number?

Whatsoever number that tin can exist exactly divided by 2 is called every bit an even number. Even numbers ever stop up with the last digit as 0, 2, four, vi or eight. Some examples of even numbers are ii, four, half dozen, 8, 10, 12, 14, 16. These are even numbers every bit these numbers tin can easily be divided past 2. It should be noted that the smallest positive even natural number is 2. If you pick a number that cannot exist divided by ii is known as anodd number. For Instance- 1, iii, 5, 7, ix, etc.

Thus, all numbers can be divided intoFifty-fifty numbers and Odd numbers. That ways, a number must be either fifty-fifty or odd.

How to Know If a Number is Even or Odd?

To find out whether the given number is odd or even, yous need to check the number in 1's (or unit's) place. That particular number in 1's place will tell you whether the number is odd or even.

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

These are the elementary tricks to place the numbers whether they are even or not.

Think nearly the number iii, 845, 917 which ends with an odd number i.eastward. three, 5 and 7. Therefore, the given numbers three, 845, 917 is an odd number. Thus the number is not an even number. In the same way, eight, 322 is an fifty-fifty number equally it ends with 8 and 2.

List of Even Numbers upwards to 100

The even numbers list up to 100 is given beneath:

2, 4, 6, 8, ten, 12, fourteen, 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, lxx, 72, 74, 76, 78, eighty, 82, 84, 86, 88, xc, 92, 94, 96, 98, 100

Also, take a look at the even numbers nautical chart upwards to 100.

Even Numbers

Properties of Even Numbers

Three important properties of even numbers are given below:

Holding Property Name Functioning Operation Description Case
Holding ane Property of Addition Even + Even = Even Calculation even and even number will e'er result in an even number 14 + vi = 20
Holding two Property of Subtraction Even – Even = Even Subtracting even from even number will event in an even number. 16 – 6 = 10
Holding iii Holding of Multiplication Even × Even = Fifty-fifty Multiplying even and fifty-fifty number volition always outcome in an even number. half-dozen × 4 = 24

Property of Add-on

  • Adding even and odd (or vice-versa), the resulting number is always odd.

           Ex: 8 + five = 13,

           5 + 18 = 23

  • Adding fifty-fifty and even, the resulting number is always even.

          Ex: 12+8 = 20

  • Adding odd and odd, the resulting number is ever fifty-fifty.

          Ex: 13 + 9 = 22

Belongings of Subtraction

  • Subtracting fifty-fifty from odd (or vice-versa), the resulting number is always odd.

            Ex: 7 – 4 = 3,

            x – 5 = 5

  • Subtracting even from fifty-fifty, the resulting number is always fifty-fifty.

           Ex: xvi – 6 = x

  • Subtracting odd from odd, the resulting number is always even.

          Ex: 21 – 13 = 8

Property of Multiplication

  • Multiplying fifty-fifty and even will always result in an even number.

          Ex: half dozen × four = 24,

          12 × 4 = 48

  • Multiplying even and odd numbers will event in an even number.

          Ex: four × 5 = 20,

          6 × 3 = 18

  • Multiplying odd and odd numbers volition ever give an odd number.

           Ex: iii × 5 = 15,

           5 × ix = 45

Even numbers between l and 70

Let united states of america accept a await at the listing of even numbers between 50 and 70.
52, 54, 56, 58, 60, 62, 64, 66, 68
Thus, in that location are a total of 9 even numbers between fifty and 70.
Go through the fifty-fifty numbers examples and solutions given below for a better understanding.

Even Numbers Solved Issues

Example 1:

Are all whole numbers fifty-fifty?

Solution:

No, the list of whole numbers which are exactly divisible by two is called the even numbers.

Example ii:

Write whatsoever four sequent even numbers betwixt eleven to nineteen.

Solution:

Let A = {11, 12, thirteen, xiv, xv, 16, 17, 18, xix}

Therefore, 12, fourteen, xvi, xviii are 4 sequent even numbers.

Example iii:

Cull the correct answer. The sum of 2 even numbers

a) is always an even number

b) is ever an odd number

c) is sometimes odd and sometimes fifty-fifty

d) may be neither odd nor even
Solution:

The right respond is selection a). Even number + Even number = Even number

Video Lesson on Numbers

Worksheet on Even Numbers

  1. What are the fifty-fifty 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?

This was all about fifty-fifty numbers. To do more than on fifty-fifty numbers and to learn about the other maths concepts like odd numbers, number system, foursquare numbers, triangular numbers, etc., keep visiting BYJU'S and annals now.

Frequently Asked Questions on Even Numbers

What is even number in maths?

A number that can be split into two halves, i.due east. into 2 equal parts is called an even number. In other words, even numbers are exactly divisible past 2 that ways rest will be 0.

Is 2 an even number?

Yes, ii is an even number since 2 is exactly divisible by two.

What are the fifty-fifty numbers between ane and 50?

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

Which is the even prime number?

2 is the simply fifty-fifty prime number.

How exercise you write the general course of an even number?

The general grade of an fifty-fifty number is 2k, where g is any integer.

Is Zero(0) an even number?

Aye, zero is an even number, because 0 is divisible by 2, which gives the remainder 0.

Is 41 an fifty-fifty number?

No, 41 is not an even number. It is an odd number, because information technology leaves the balance 1, when 41 is divided past 2.

Write a list of even consecutive numbers between 21 and 31.

A list of even consecutive numbers between 21 and 31 is 22, 24, 26, 28 and xxx.

What Is An Even Integer,

Source: https://byjus.com/maths/even-numbers/

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