Even Numbers 1 to 100

Even Numbers Meaning - Even Numbers are numbers that are divisible by 2 and generate zero as the remainder. Even numbers from 1 to 100 include 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.

In this article, you will read about What are Even Numbers, their meaning and definition, List of Even Numbers from 1 to 100, How to know if a number is even or odd, Even Numbers that are Prime, the Properties of Even Numbers, Difference between Odd Numbers and Even Numbers, Even Numbers on the Number Line, along with some practice problems and solved examples on even numbers.

What are Even Numbers?

Any number that can be exactly divided by 2 is called an even number. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16.

Imagine you have a certain number of candies. If these candies can be divided equally between two individuals, resulting in the same number of candies for each person, then the original quantity of candies must have been an even number. Even numbers can be easily divided into two equal pairs.

Thus, by the above explanation 12, 16, 8, etc. are even numbers and 7, 11, 13, etc. are not even numbers. Negative numbers that are exactly divisible by two are also considered even numbers such as -4, -6, -18, etc.

Even Numbers Definition

Even Numbers are the integers that on division by 2 result in a remainder of 0. It is of the form 2n, where n is any integer. The image added below shows some even numbers.

Note: All integers are either even numbers or odd numbers.

List of Even Numbers

It is not possible to list out all even numbers, as there are an infinite number of them. However, we can list the initial even numbers, which include positive even numbers such as 2, 4, 6, 8, 10, and so on, extending to infinity, as well as negative even numbers such as -2, -4, -6, -8, -10, and so on, extending to negative infinity. 0 is considered an even number because it is divisible by 2 (2 divides 0 with a remainder of 0).

List of Even Numbers 1 to 100

Even numbers 1 to 100 as they suggest are the even numbers from 1 to 100. There are fifty even numbers from 1 to 100. The image added below highlights the even numbers from 1 to 100.

Even Numbers between 50 and 70

Even numbers between 50 and 70 are, 52, 54, 56, 58, 60, 62, 64, 66, 68.

List of Even Numbers 1 to 200

Even Numbers 1 to 200 are the consecutive even numbers starting from 2 and till 198, there are a total of 100 even number between 1 to 200, the table added below, shows the even number from 1 to 200

2	22	42	62	82	102	122	142	162	182
4	24	44	64	84	104	124	144	164	184
6	26	46	66	86	106	126	146	166	186
8	28	48	68	88	108	128	148	168	188
10	30	50	70	90	110	130	150	170	190
12	32	52	72	92	112	132	152	172	192
14	34	54	74	94	114	134	154	174	194
16	36	56	76	96	116	136	156	176	196
18	38	58	78	98	118	138	158	178	198
20	40	60	80	100	120	140	160	180	200

Odd Numbers and Even Numbers

There are some major differences between even and odd numbers. We have listed most of them down below:

Even Numbers	Odd Numbers
Those numbers which are exactly divisible by 2 are even numbers.	Those numbers which are not exactly divisible by 2 and give 1 as a reminder when divided by 2 are Odd numbers.
Examples of positive even numbers are 2, 4, 6, 8, 10, etc.	Examples of positive odd numbers are 1, 3, 5, 7, 9, etc.
Examples of negative even numbers are -2, -4, -6, -8, -10, etc.	Examples of negative odd numbers are  -1, -3, -5, -7, -9, etc.
All the even numbers can be represented by 2k, where k is some integers.	All the odd numbers can be represented by 2k+1, where k is some integers.

How to Know If a Number is Even or Odd

Any number ending with digits 0, 2, 4, 6, and 8, is an Even Number, as all the numbers ending with digits 0, 2, 4, 6, and 8 are divisible by 2. Also, numbers ending with digits 1, 3, 5, 7, and 9 are odd numbers, as they are not divisible by 2 and give 1 as the remainder when divided by 2. Here is the way you can know how to now If a Number is Even or Odd.

Example: Classify the numbers as odd and even from the following?

10880, 16619, 2314, 1923, and  23468

Numbers ending with 0, 2, 4, 6, and 8 are even numbers. Thus, 10880, 2314, and 23468 are even numbers from the given list. 

Numbers ending with 1, 3, 5, 7, and 9 are odd numbers. Thus, 16619 and 1923 are the odd numbers from the given list.

Consecutive Even Numbers

Consecutive even numbers are the even numbers that have a difference of 2 between any two numbers that come to one another. That is we can say that if we list even numbers without skipping any numbers then it is said to be consecutive even numbers.

Suppose we write, 6, 8, 10, and 12 then it is considered to be a consecutive even number and if the even number is written as, 4, 8, 14 then they are not considered to be a consecutive even number.

Even Natural Numbers

Natural numbers are the numbers that are used for counting and natural numbers that are also even numbers are called even natural numbers. Some examples of even natural are 2, 8, 14, 18, etc.

Properties of Even Numbers

One major property of Even Numbers is that all Even Numbers can be represented as 2k whereas for all k belongs to integers. For example, 14 can be written as 2×7, and -10 can be written as 2×-5. 

Other than this property, there are some operation-oriented properties of even numbers which are as follows:

Property of Addition of Even Numbers

• Addition of two or more even numbers always results in an even number.
  • For example, 2 + 4 + 6 + 10 = 22
• Addition of two odd numbers always results in an even number.
  • For example, 3 + 7 = 10, 7 + 9 = 16, etc.
• Addition of one even and one odd number always results in an odd number.
  • For example, 2 + 3 = 5, 4 + 3 = 7, and 11 + 4 = 15, etc.

Property of Subtraction of Even Numbers

• Subtraction between any two even numbers always results in an even number.
  • For example, 4 - 6 = 2, 12 - 14 = -2, and 24 - 14 = 10, etc.
• Subtraction of two odd numbers always results in an even number.
  • For example, 5 - 3 = 2, 9 - 5 = 4, etc.
• Subtraction between one even and one odd number is always an odd number.
  • For example, 4 - 7 = 3, 3 - 14 = 11, and 13 - 14 = -1, etc.

Property of Multiplication of Even Numbers

• Multiplication of two even numbers is always an even number.
  • For example, 2 × 4 = 8, 12 × 10 = 120, and 8 × 6 = 48, etc.
• Multiplication of one even and one odd number is always an even number.
  • For example, 3 × 4 = 12, 2 × 15 = 30, and 4 × 7 = 28, etc.

Even Numbers that are Prime

For any number to be prime, it's only possible factors can be 1 and the number itself but all even numbers have 2 as their factor, therefore even numbers can't be prime. But there is one exception to this rule as 2 is the prime as well as even number. Thus, 2 is the only even number that is prime as well.

Even Numbers on the Number Line

A number line is a line in which numbers are marked and is used to marks the position of various numbers and perform all sort of mathematical operations such as addition, subtraction, and others.

Even numbers are easily represented on the number line. They are represented by skipping one number and marking the other number starting from any even number.

The image added below shows even numbers on a number line,

Even Numbers Solved Examples

Here are some solved examples on Even Numbers to help you learn how to solve the questions on even numbers:

Example 1: Write any 10 consecutive even numbers between 1 and 50.

Solution:

As, every other number in a continuous series of natural numbers is even number.

So, 2, 4, 6, 8, 10, . . ., 48, 50 is the list of all even numbers between 1 and 50.

Thus, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 or 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 or 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 are some of the examples of 10 consecutive even numbers between 1 and 50.

Example 2: How many even numbers are between 1 and 300?

Solution:

Out of all integers, half of them are even and half of them are odd. So, there are 300 integers between 1 and 300 (including 1 and 300), so half of them are odd and half of them are even.

Thus, there are 150 even number between 1 and 300.

Example 3: Find the product of all even numbers between 1 to 10.

Solution:

The Even numbers between 1 to 10 are 2, 4, 6, 8, and 10.

The product of all even numbers between 1 to 10 = 2 * 4 * 6 * 8 * 10 = 3840.

Thus, product of all even numbers between 1 and 10 (including 1 and 10) is 3840.

Example 4: What is the even natural number that can be written as the sum of two odd primes?

Solution:

The sum of two odd numbers is always even. Therefore, the smallest even number that can be written as the sum of two odd primes is 8.

The smallest two odd primes are 3 and 5. Their sum is 8, which is also even.

Therefore, the smallest even number that can be written as the sum of two odd primes is 8.

Example 5: Find the sum even numbers from 10 to 20.

Solution:

Even Numbers from 10 to 20 are 12, 14, 16, 18

Sum = 12 + 14 + 16 + 18

Sum = 60

Thus, the sum of even numbers from 10 to 20 is 60

Example 6: Find the difference of 28 and 16

Solution:

Difference of 28 and 16 = 28 - 16

= 12

Practice Questions on Even Numbers 1 to 100

Here are some practice questions on even numbers 1 to 100 for you to solve:

Q1. Find the sum of even numbers from 20 to 40

Q2. Check if the number given are even numbers or not, 78, 23, 46, 90.

Q3. Find the product of 12 and 24.

Q4. How many even numbers are their from 50 to 100?

Even Numbers 1 to 100- FAQs

1. What are Even Numbers?

Numbers which are exactly divisible by 2 are Even Numbers. Examples of even numbers are 2, 4, 6, 8, 10, etc.

2. How Many Even Numbers are Between 1 and 100? 

As every other integer is even, thus between 1 and 100 there are 98 number(not including 1 and 100) and half of them must be even and half of them are odd number. Therefore there are 49 even numbers between 1 and 100.

3. How Many Even Numbers are Prime?

As all even numbers has 2 as their factor, thus even numbers can't be prime numbers, but there is one exception to that as 2 is the first prime number. Thus, 2 is only even number which is prime as well.

4. Is Zero(0) an Even Number?

Yes, zero is an even number, because it is divisible by 2

5. What is General Form of Even Numbers?

The general form of an even number is 2n, where n is any integer.

6. Are all Even Numbers Natural Numbers?

No, not all even numbers are not natural numbers there are some integers that are even numbers but not natural number such as, -2, -6, etc. all are even numbers but not natural numbers.

7. What is Smallest Even Number?

The smallest even number is 2.

8. What is Average of Even Numbers 1 to 100?

The average of even numbers 1 to 100 is 51.

9. What are the Even Prime Numbers from 1 to 100?

Even Prime Numbers from 1 to 100 is, 2.

10. What is 0 Odd or Even?

Zero(0) is an Even Number.

11. Is 1 an Even and Odd Number?

1 is an Odd Number, as it does not divisible by 2.

12. What are even numbers from 1 to 100?

Even numbers from 1 to 100 include: 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.

13. What are odd and even numbers?

Odd numbers are the numbers that cannot be divided by 2, whereas even numbers are those numbers that can be exactly divided by 2. Examples of odd numbers are 3, 5, 7, 9, 11, 13, 15. Examples of even numbers are 2, 4, 6, 8, 10, 12, 14.