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

Even Numbers are the numbers that are exactly divisible by 2. The reminder will always be zero after dividing any even number by 2. In other words, an even number is any number that can be expressed in the form: n = 2k, where k is an integer.

Understanding even numbers is crucial for mathematical literacy and for various applications in science, engineering, and everyday problem-solving.

Let’s learn about even numbers from 1 to 100 in detail, including their properties and examples.