Even Numbers 1 to 100 | Definition, Properties and Examples
Even Numbers are the numbers that are exactly divisible by 2. The reminder will always be zero after dividing any even number by 2.
Let’s learn about even numbers from 1 to 100 in detail, including their properties and examples .
What is Even Number
Even Numbers are those numbers that are exactly divisible by 2. This means that all even numbers are multiples of 2.
How to Identify Even Numbers
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.Â
Here is the way you can know
- Numbers ending with 0, 2, 4, 6, and 8 are even numbers. Thus, 10880, 2314, and 23468 are even numbers.
- Numbers ending with 1, 3, 5, 7, and 9 are odd numbers. Thus, 16619 and 1923 are the odd numbers.
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Even Numbers from 1 to 100
Below is the list of even numbers from 1 to 100.
List of Even Numbers up to 100 | ||||
---|---|---|---|---|
2 | 22 | 42 | 62 | 82 |
4 | 24 | 44 | 64 | 84 |
6 | 26 | 46 | 66 | 86 |
8 | 28 | 48 | 68 | 88 |
10 | 30 | 50 | 70 | 90 |
12 | 32 | 52 | 72 | 92 |
14 | 34 | 54 | 74 | 94 |
16 | 36 | 56 | 76 | 96 |
18 | 38 | 58 | 78 | 98 |
20 | 40 | 60 | 80 | 100 |
Difference between Even and Odd Numbers
Even vs Odd Numbers | ||
---|---|---|
Type of Number | Definition | Examples |
Even Numbers | Divisible by 2, remainder is 0. | 2, 4, 6, 8, 10 (positive); -2, -4, -6, -8, -10 (negative) |
Odd Numbers | Not divisible by 2, remainder is 1. | 1, 3, 5, 7, 9 (positive); -1, -3, -5, -7, -9 (negative) |
Properties ofÂ Even Numbers
Let’s learn some of the important properties of even numbers.
Operation | Example | Result |
---|---|---|
Even + Even | 4 + 2 | Even |
Odd + Odd | 3 + 5 | Even |
Even + Odd | 4 + 3 | Odd |
Even – Even | 6 – 2 | Even |
Odd – Odd | 7 – 5 | Even |
Even – Odd | 6 – 3 | Odd |
Odd – Even | 5 – 2 | Odd |
Even Ã— Even | 4 Ã— 2 | Even |
Even Ã— Odd | 4 Ã— 3 | Even |
Odd Ã— Even | 3 Ã— 2 | Even |
Odd Ã— Odd | 3 Ã— 3 | Odd |
Even Numbers on Number Line
Even numbers can be easily represented on the number line. They are represented by skipping one number and marking the other number starting from any even number.
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.
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 that are also even numbers are called even natural numbers.
Some examples of even natural are 2, 8, 14, 18, etc.
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Even Numbers that are Prime
For any number to be prime, it’s factors should be 1 and the number itself. All even numbers have 2 as their factor, therefore they 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.
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Even Numbers Solved Examples
Here are some solved examples 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 numbers between 1 and 300.
Example 3: 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 4: 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
Practice Problems on Even Numbers
Here are some practice questions on even numbers 1 to 100 for you to solve:
1. Find the sum of even numbers from 20 to 40
2. Check if the number given are even numbers or not, 78, 23, 46, 90.
3. Find the product of 12 and 24.
4. How many even numbers are their from 50 to 100?
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Even Numbers- FAQs
What are Even Numbers?
Even Numbers are the numbers which are exactly divisible by 2. Examples of even numbers are 2, 4, 6, 8, 10, etc.
How Many Even Numbers are there between 1 and 100?Â
There are 49 even numbers between 1 and 100.
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.
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.
What is the Smallest Even Number?
The smallest even number is 2.
Is 0 Odd or Even?
Zero(0) is an Even Number.
What is Sum of Even Numbers from 1 to 100?
Sum of all the even numbers from 1 to 100 is 2550.
What is Sum of First n Even Numbers?
The sum of the first n even numbers can be calculated using the following formula :
Sum = n Ã— (n+1)
What are Even Numbers from 1 to 20?
Even numbers between 1 and 20 are, 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20.