Even Numbers 1 to 100
Even numbers 1 to 100 means all even numbers that come between 1 to 100. Even numbers are those numbers that are completely divisible by 2. A simple trick to identify even numbers is to check the last digit which should be 0, 2, 4, 6 or 8. This means that all those numbers that are divisible by 2 are termed as even numbers. For example, 50, 22, 68, 86 are a few numbers that come in the category of even numbers 1 to 100. There are a total of 50 even numbers that come between 1 to 100. Let us learn more about even numbers from 1 to 100.
1. | Even Numbers 1 to 100 Chart |
2. | Even Prime Numbers from 1 to 100 |
3. | Sum of Even Numbers 1 to 100 |
4. | FAQs on Even Numbers 1 to 100 |
Even Numbers 1 to 100 Chart
An even numbers chart from 1 to 100 is a list of all even numbers between 1 to 100. This chart is prepared with the help of a simple formula in which we add 2 to the previous even number to obtain the next even number. For example, let us start from the first even number 2. If we add 2 to the first even number 2, we get 2 + 2 = 4, which is the next even number in the given chart. Similarly, 4 + 2 = 6, 6 + 2 = 8, 8 + 2 = 10, and so on. The last number in the chart of even numbers 1 to 100 is 100 because if we add 2 to 100, we get 102 which is greater than 100. Therefore, 100 is the last even number in the list of even numbers from 1 to 100.
Even Prime Numbers from 1 to 100
Even prime numbers are those even numbers that are prime numbers as well. Prime numbers are those numbers that are divisible only by 1 and itself. For example, 3 is a prime number that is divisible by 1 and 3 only. Now, if we try to look for numbers that are even and prime, we will be getting just one such number which is 2. Interestingly, 2 is the only prime number which is even because all even numbers have factors other than 1 and the number itself, for example, the factors of 4 = 1, 2, 4. Similarly, the factors of 18 = 1, 2, 3, 6, 9, 18. These are not prime numbers, they are composite numbers. Therefore, 2 is the only even prime number from 1 to 100. In fact, in all counting numbers, 2 is the only even prime number.
Sum of Even Numbers 1 to 100
The sum of all the even numbers 1 to 100 can be found by using the formula, S = n(n + 1), where n is the total number of even numbers from 1 to 100. There are a total of 50 even numbers, so n = 50. Therefore, by substituting the value of n = 50, we get,
S = 50(50 + 1)
S = 50 × 51
S = 2550
Therefore, the sum of all even numbers from 1 to 100 is 2550.
Important Notes
- 10 is the smallest two-digit even number.
- There are a total of 50 even numbers from 1 to 100.
- 2 is the only even prime number.
- Numbers that are multiples of 2 are even numbers.
- The sum of even numbers 1 to 100 is 2550.
- The average or mean of all even numbers 1 to 100 is 51.
☛ Related Articles
Examples of Even Numbers from 1 to 100
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Example 1: Is 45 an even number?
Solution: As per the even numbers chart from 1 to 100, 45 is not an even number. This is because the last digit of 45 is 5 which is not divisible by 2. Therefore, 45 is not an even number.
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Example 2: Find the sum of the largest and the smallest even numbers from the list of even numbers 1 to 100.
Solution: As per the list of even numbers 1 to 100, the largest even number is 100 and the smallest even number is 2. So, the required sum is 100 + 2 = 102.
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Example 3: State true or false.
a.) 2 is the only even prime number.
b.) 90 is the last even number in the list of even numbers from 1 to 100.
Solution: Referring to the even numbers 1 to 100 chart given above we can find the answers.
a.) True, 2 is the only even prime number.
b.) False, 100 is the last even number in the list of even numbers from 1 to 100.
FAQs on Even Numbers 1 to 100
What are the Even Numbers from 1 to 100?
Even numbers 1 to 100 are all those numbers, within this range, that are divisible by 2. The even numbers from 1 to 100 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, 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.
How to Find the Sum of Even Numbers 1 to 100?
The sum of all even numbers from 1 to 100 is 2550. The total number of even numbers in this range is 50. So, we use this value as 'n' in the formula: S = n(n + 1), where n is the total number of even numbers from 1 to 100. After substituting the value of n = 50 in the formula, we get S = n(n + 1); S = 50(50 + 1); S = 2550.
What is the Average of Even Numbers from 1 to 100?
The average of even numbers from 1 to 100 is 51. This is calculated by using the formula of average, which states that Average = Sum of all values/Total number of values. Here, the sum of values is 2550 and the total number of even numbers from 1 to 100 is 50. So, average = 2550/50 = 51. Therefore, 51 is the average of even numbers 1 to 100.
How to Find Even Numbers 1 to 100?
To find the even numbers, we use the formula 2n, where n is the count of the even number. For example, the first even number is 2 × 1 = 2, the second even number is 2 × 2 = 4, and the last even number from 1 to 100 will be 2 × 50 = 100.
Which is the Largest Even Number in the List of Even Numbers 1 to 100?
100 is the largest even number in the list of even numbers from 1 to 100. The next even number is 102 which is greater than 100. So, 100 is the greatest even number in the list of even numbers 1 to 100.
How many Even Numbers are there from 1 to 100?
There are a total of 50 even numbers from 1 to 100. They can be listed as follows: 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.
How many Even Prime Numbers are there from 1 to 100?
There is only one even prime number from 1 to 100, which is 2. In fact among all counting numbers, 2 is the only even number which is also a prime number. The other even numbers have factors other than 1 and itself. Therefore, 2 is the only even prime number.
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