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Last updated on August 5, 2025
Even numbers are a fundamental concept in mathematics and they are integers divisible by 2 without remainder. Even numbers play a significant role in organizing data, architecture, pairing, and grouping items equally. In this topic, we will learn about even numbers between 1 and 5000.
Even numbers are the numbers that are divided by 2 evenly without remainder. All even numbers are multiples of 2. The last digit of even numbers always ends with 0, 2, 4, 6, or 8. There are a total of 2500 even numbers ranging from 1 to 5000. The even number follows a simple formula of 2n, where n is an integer.
Learning about even numbers can be made easier with a visual aid that helps children grasp the concept more effectively. A chart allows them to recognize the sequence of even numbers more clearly. Here’s a list of even numbers from 1 to 5000:
Even numbers are expressed in the form of ‘n = 2k’. Here, ‘k’ is an integer, and ‘n’ is the number. These numbers are divisible by 2 and the remainder equals zero. Now, let us list the even numbers 1 to 5000. The even numbers from 1 to 5000 are as follows: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, ….. 998, 1000, 1002, 1004, 1006, ..., 4996, 4998, and 5000. There are a total of 2500 even numbers.
To find the sum of even numbers, the formula is - S = n(n+1), where ‘n’ is the count of even numbers, and ‘S’ is the sum. There are a total of 2500 even numbers, so ‘n’ = 2500. Now we can substitute the value of ‘n’. S = 2500(2500 + 1) S = 2500 × 2501 = 6,252,500 Therefore, 6,252,500 is the sum of all even numbers from 1 to 5000. If we add an even number to an even number, the result will always be an even number. Even numbers are multiples of 2. The sum of two multiples of 2 is also another multiple of 2, therefore, it is always an even number. For example, 28 + 40 = 68.
Subtraction of even numbers involves subtracting each even number from the next. Each even number is uniformly spaced by 2. If we subtract two even numbers, it gives an even number as the result. For example, 166 - 76 = 90 488 - 202 = 286 340 - 90 = 250
Find the sum of even numbers between 100 and 200.
7,650 is the sum of even numbers between 100 and 200.
As we know, 100, 102, 104, ..., 198, 200 are the even numbers between 100 and 200. Next, we need to calculate the sum of these numbers. 100 + 102 + 104 + ... + 198 + 200 = 7,650 The sum of even numbers 100 to 200 is 7,650.
Alex has 80 books. He wants to divide them equally between his 4 friends. How many books will each friend get?
Each friend gets 20 books.
There are 80 books with Alex, and it is an even number. So he has to divide equally between his 4 friends, making it — 80 ÷ 4 = 20, therefore, each friend gets 20 books.
In a theater, there are 1000 seats. Each seat is labeled with a number. All the even-numbered seats are reserved for VIPs. How many even-numbered seats are there?
500 seats.
To find the even-numbered seats in the theater, we divide the total number of seats by 2. Because only the even-numbered seats are reserved for VIPs. 1000 ÷ 2 = 500 So, 500 seats are reserved for VIPs in the theater.
Liam has 15 dogs, 25 cats, and 10 rabbits. Each pair of legs makes an even number. How many legs do all the animals have?
220 legs in total.
First, we have to calculate the total number of legs for each type of animal: Dogs have 4 legs, and there are 15 dogs, therefore: 15 × 4 = 60 Cats have 4 legs and there are 25 cats, therefore: 25 × 4 = 100 Rabbits have 4 legs and there are 10 rabbits, therefore, 10 × 4 = 40 Therefore, the total number of legs all the animals have is 60 + 100 + 40 = 200. The animals have 200 legs in total.
There are 716 people at a conference. If the people are grouped into sets of 2, how many sets are there?
358 sets.
Grouping into sets of 2 means dividing the total number of people by 2. We need to calculate it as: 716 ÷ 2 = 358. If the people are grouped into sets of 2, there are a total of 358 sets.
Even number: Even numbers are the numbers that are divided by 2 without leaving any remainder. It follows a formula of 2n, where n is an integer. The last digit of even numbers always ends in 0, 2, 4, 6, or 8. For example, 222, 346, 5000 are some even numbers. Multiple: A number that is a product of multiplying a number by an integer. For instance, 2, 4, 6, 8, etc., are the few multiples of 2. These numbers are the result of multiplying 2 by other integers. Remainder: For even numbers, when divided by 2, the remainder is always zero. If we divide a number by another, the leftover value is known as the remainder. Divisor: A number by which another number is divided. In the case of even numbers, the divisor is 2. Pair: A set of two items. In mathematics, pairing is used to group items, often resulting in even numbers.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.