BrightChamps Logo
Login

Summarize this article:

Live Math Learners Count Icon103 Learners

Last updated on August 5, 2025

Even Numbers 1 to 5000

Professor Greenline Explaining Math Concepts

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 1 to 5000 for US Students
Professor Greenline from BrightChamps

Even Numbers 1 to 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.

Professor Greenline from BrightChamps

Even Numbers 1 to 5000 Chart

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:

Professor Greenline from BrightChamps

List of Even Numbers 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.

Professor Greenline from BrightChamps

Sum of Even Numbers 1 to 5000

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.

Professor Greenline from BrightChamps

Subtraction of Even Numbers 1 to 5000

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

Max from BrightChamps Saying "Hey"
Hey!

Even Numbers 1 to 5000 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Find the sum of even numbers between 100 and 200.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

7,650 is the sum of even numbers between 100 and 200.

Explanation

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.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 2

Alex has 80 books. He wants to divide them equally between his 4 friends. How many books will each friend get?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

Each friend gets 20 books.

Explanation

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.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 3

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

500 seats.

Explanation

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.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 4

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

220 legs in total.

Explanation

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.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 5

There are 716 people at a conference. If the people are grouped into sets of 2, how many sets are there?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

358 sets.

Explanation

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.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Ray Thinking Deeply About Math Problems

FAQs on Even Numbers 1 to 5000

1.What are even numbers?

Even numbers are the numbers that are divisible by 2 without any remainder. These numbers end with 0, 2, 4, 6, or 8.

Math FAQ Answers Dropdown Arrow

2.How many even numbers are there between 1 and 5000?

There are 2500 even numbers between 1 and 5000. The list starts from 2, 4, 6, 8, 10 to 4996, 4998, and goes up to 5000.

Math FAQ Answers Dropdown Arrow

3.Are all multiples of 2 even numbers?

Yes. Even numbers are multiples of 2. If we divide any even number by 2, the remainder will always be zero. Also, if we multiply any even number by 2, the product will be an even number. For example, 14 × 2 = 28, and 148 ÷ 2 = 74. Since 148 is divisible by 2, the remainder is zero.

Math FAQ Answers Dropdown Arrow

4.Is it possible for a negative number to be an even number?

Yes, a negative number can be an even number. If the negative number is divisible by 2, it will be an even number. For instance, -2, -4, -6 are all even numbers.

Math FAQ Answers Dropdown Arrow

5.What are the largest and smallest even numbers between 1 and 5000?

5000 is the largest even number between 1 and 5000. Also, 2 is the smallest even number in the list.

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Even Numbers 1 to 5000

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.

Math Teacher Background Image
Math Teacher Image

Hiralee Lalitkumar Makwana

About the Author

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.

Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
UAE - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom