Math Explorer program

Even Numbers 1 to 1000: Full List, Sum & Worksheet with Answers

  • Agrima Pandey
  • 12 minutes read
Table of contents
  1. Even Numbers 1 to 1000 at a Glance
  2. What Is an Even Number? A Simple Explanation
  3. 5 Easy Ways to Spot Even Numbers from 1 to 1000 Without Dividing
  4. List of Even Numbers from 1 to 1000
  5. How Many Even Numbers Are There from 1 to 1000?
  6. What’s the Sum of Even Numbers from 1 to 1000?
  7. The Rules Even Numbers Follow
  8. Where You’ll Actually See Even Numbers
  9. Tips for Teaching Even Numbers
  10. Even Numbers Worksheet (with Answers)
  11. Mistakes That Trip People Up
  12. Conclusion
  13. Frequently Asked Questions

Is 738 even or odd? Chances are you knew before you finished reading the question. You glanced at the 8 at the end and that was that. This whole article is really about that tiny habit, and how far it can take you. Below you’ll find the complete list of even numbers 1 to 1000, a few quick ways to spot an even number, the total when you add them all up, and a worksheet with answers. Whether you’re a parent helping with homework, a teacher looking for a printable chart, or a student cramming before a test, you should find what you need here.

Educational image showing the topic Even Numbers 1 to 1000 on a classroom whiteboard, surrounded by books, pencils, a notebook, and a calculator.

Even Numbers 1 to 1000 at a Glance

  • There are 500 even numbers from 1 to 1000.
  • The first is 2 and the last is 1000.
  • Their sum is 250,500.
  • Every even number ends in 0, 2, 4, 6 or 8.
  • Each one is exactly 2 more than the one before.

Keep reading if you want the full chart and the reasoning behind these numbers.

What Is an Even Number? A Simple Explanation

An even number is a whole number you can split into two equal groups with nothing left over. Divide it by 2 and you get another whole number.

Picture 14 pencils and 2 students. Seven each, no arguments. Now picture 15 pencils. Seven each, and one pencil rolling around on the desk. That stray pencil is what makes 15 odd.

If you like a bit of algebra, any even number can be written as 2 × k, where k is a whole number. So 18 is 2 × 9, 250 is 2 × 125, and 1000 is 2 × 500.

One small thing people often get wrong: 0 is even. It divides by 2 with no remainder, so it counts. (Our list starts at 2 because we’re looking at 1 to 1000, but 0 is still part of the family.)

5 Easy Ways to Spot Even Numbers from 1 to 1000 Without Dividing

You’ll rarely need to do any division. These are the shortcuts, starting with the one you’ll use most.

Look at the last digit. If it’s 0, 2, 4, 6 or 8, the number is even. If it’s 1, 3, 5, 7 or 9, it’s odd. So 738 is even, 641 is odd, and 1,000 is even.

This works because everything before the last digit (the tens, hundreds, thousands) is a multiple of 10, and 10 is even. The one digit is the only part that can tip the balance.

Try dividing by 2. If you get a whole number, it’s even. 86 ÷ 2 = 43, so 86 is even. 87 ÷ 2 = 43.5, so it isn’t.

Count in twos. If you can reach the number by skipping counting from 0 (2, 4, 6, 8…), it’s even.

Pair things up. This is the one that clicks best with younger kids. Line up that many counters, buttons or Lego bricks in pairs. If everyone has a partner, it’s even.

Check the binary. A fun one for older students: in binary, every even number ends in 0. The number 10 is 1010 and 6 is 110.

List of Even Numbers from 1 to 1000

Here’s the full chart, ten numbers to a row. Feel free to bookmark it or print it out.

          

2

4

6

8

10

12

14

16

18

20

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28

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1000

Look down any column and you’ll see the last digit never changes. That’s the last-digit rule showing up right on the page.

Just need the small list? Here are the even numbers from 1 to 100, which is where most kids start:

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

That’s 50 numbers.

How Many Even Numbers Are There from 1 to 1000?

Exactly 500. Here’s an easy way to see it. Take the numbers in neighbouring pairs: 1 and 2, then 3 and 4, then 5 and 6. Each pair has one even number in it. A thousand numbers make 500 pairs, so you end up with 500 evens.

You can also count them by size:

Type

Range

How many

One-digit

2 to 8

4

Two-digit

10 to 98

45

Three-digit

100 to 998

450

Four-digit

1000

1

Total

 

500

What’s the Sum of Even Numbers from 1 to 1000?

It’s 250,500. And you don’t have to add 500 numbers by hand to get there.

The formula: the sum of the first n even numbers is n × (n + 1).

There are 500 even numbers here, so n = 500:

500 × 501 = 250,500

Where the formula comes from

There’s a lovely trick behind it, usually credited to the mathematician Gauss. Pair the smallest number with the largest, then the second smallest with the second largest, and so on:

  • 2 + 1000 = 1002
  • 4 + 998 = 1002
  • 6 + 996 = 1002

Every pair makes 1002. With 500 numbers you get 250 pairs, and 250 × 1002 = 250,500. Same answer, and now you can see why.

Sums for other ranges

Even numbers from

How many

Sum

2 to 10

5

30

2 to 20

10

110

2 to 50

25

650

2 to 100

50

2,550

2 to 200

100

10,100

2 to 500

250

62,750

2 to 1000

500

250,500

Sum of each block of 100

Block

Sum

2 to 100

2,550

102 to 200

7,550

202 to 300

12,550

302 to 400

17,550

402 to 500

22,550

502 to 600

27,550

602 to 700

32,550

702 to 800

37,550

802 to 900

42,550

902 to 1000

47,550

Each block is 5,000 higher than the last, and all ten together give 250,500.

Want to find the nth even number? Just double n. The 100th even number is 200. The 350th is 700.

The Rules Even Numbers Follow

Even numbers are well behaved, which is a big part of why they’re so useful. Here’s how they act:

  • Even + even = even. 24 + 46 = 70.
  • Even − even = even. 90 − 38 = 52.
  • Even × even = even. 12 × 14 = 168.
  • Even × odd = even. 8 × 7 = 56. One even factor is enough to make the whole product even.
  • Odd + odd = even. 9 + 13 = 22. Two odds pair up nicely.
  • Even + odd = odd. 20 + 7 = 27.
  • Even ÷ even could go either way. 16 ÷ 4 = 4 is even, but 18 ÷ 2 = 9 is odd. Division is the one operation where you can’t predict it.

A few more worth knowing. Even numbers always step up by 2. They always end in 0, 2, 4, 6 or 8. And every power of 2 above 1 is even, which gives us 2, 4, 8, 16, 32, 64, 128, 256 and 512 inside our range.

Even vs. Odd Numbers

 

Even

Odd

Divisible by 2?

Yes

No, leaves 1

Last digit

0, 2, 4, 6, 8

1, 3, 5, 7, 9

Examples

2, 4, 6, 8, 10

1, 3, 5, 7, 9

Written as

2k

2k + 1

Count from 1 to 1000

500

500

Worth remembering: even + even and odd + odd both give an even answer, while even + odd always gives an odd one.

Where You’ll Actually See Even Numbers

Maths sticks better when it’s tied to something real, so here are a few places to point out to kids:

  • Houses on one side of a street often have even numbers, and the other side has odd ones.
  • Sharing fairly. Sweets, cards, teams and partners all depend on whether a number splits evenly.
  • Sports. Doubles tennis, relay teams and five-a-side matches (2 teams of 5) rely on even groupings.
  • Computers use parity to catch mistakes when data is stored or sent.
  • Splitting a bill. If the total can be halved without leftovers, it’s even.

Tips for Teaching Even Numbers

If you’re helping a child learn this, a few things tend to work well:

  1. Skip count out loud. Climbing stairs or clapping in time makes counting in twos stick far better than staring at a page.
  2. Colour a hundreds chart. Let them shade every even number and notice the pattern themselves.
  3. Play the pairing game. Hand over a pile of counters and ask if everyone has a partner.
  4. Go in steps. Get comfortable with 1 to 20, then 1 to 100, then go for 1000.
  5. Ask for predictions. Before adding two numbers, ask “will the answer be even or odd?” and then check together.

One thing to watch for is children thinking that a big or “round” number must be even. It’s only about the last digit. 1,000,002 is even and 999 is not.

Even Numbers Worksheet (with Answers)

Give these a go before scrolling down to the answers. No shame in using scrap paper.

Section A: Circle the even numbers

34, 57, 120, 391, 508, 777, 862, 995

Section B: Fill in the gaps

  1. 2, 4, ___, 8, 10, ___
  2. 96, 98, ___, 102, ___
  3. 990, 992, ___, 996, 998, ___

Section C: Even or odd answer?

  1. 14 + 26
  2. 38 − 12
  3. 18 × 7
  4. 15 + 9
  5. 13 × 5
  6. 22 + 17

Section D: Find the sum

  1. Even numbers from 2 to 20
  2. Even numbers from 2 to 50
  3. Even numbers from 2 to 100
  4. Even numbers from 2 to 1000

Section E: Word problems

  1. A teacher shares 36 stickers equally between 2 groups. How many does each group get? Is 36 even or odd?
  2. How many even numbers are there between 1 and 500?
  3. What is the 100th even number?
  4. What is the 350th even number?
  5. What are the smallest and largest three-digit even numbers?

Section F: Challenge

  1. Is the sum of three even numbers always even?
  2. How many even numbers are there from 480 to 500, counting both ends?
  3. How many even numbers up to 1000 are also divisible by 4?

Answers

Section A: 34, 120, 508 and 862 are even. The rest are odd.

Section B:

  1. 6 and 12
  2. 100 and 104
  3. 994 and 1000

Section C:

  1. 40, even
  2. 26, even
  3. 126, even
  4. 24, even (odd + odd)
  5. 65, odd (odd × odd)
  6. 39, odd (even + odd)

Section D:

  1. 10 × 11 = 110
  2. 25 × 26 = 650
  3. 50 × 51 = 2,550
  4. 500 × 501 = 250,500

Section E:

  1. 18 each. 36 ÷ 2 leaves nothing over, so 36 is even.
  2. 250
  3. 200
  4. 700
  5. 100 is the smallest and 998 is the largest.

Section F:

  1. Yes. Even + even is even, and adding another even number keeps it that way.
  2. 11: 480, 482, 484, 486, 488, 490, 492, 494, 496, 498, 500.
  3. 250. Every second even number is a multiple of 4, so it’s half of 500.

Mistakes That Trip People Up

  • Forgetting about 0. It’s even.
  • Assuming negatives don’t count. −4 and −18 are both even.
  • Looking at the first digit. Only the last one matters.
  • Expecting even ÷ even to always be even. 18 ÷ 2 = 9 says otherwise.

Conclusion

Even numbers are one of the first patterns kids notice in maths, and they keep coming back to skip counting, times tables, divisibility rules and even coding later on. If only three things stay with you, make them these: the last digit gives it away, there are 500 even numbers up to 1000, and they add up to 250,500.

 

Frequently Asked Questions

 All the whole numbers in that range that divide by 2 with nothing left over: 2, 4, 6, 8, and so on up to 1000. There are 500 of them, and the chart above lists every one.

 250,500. Use n × (n + 1) with n = 500.

Yes. It divides by 2 with no remainder.

Yes. It ends in 0 and equals 2 × 500.

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