Odd Numbers 1 to 1000
2026-02-28 09:58 Diff
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Last updated on August 5, 2025

Odd numbers are not divisible by 2. Odd numbers leave a remainder of 1, while divided by 2. The voting system with odd numbers of voters will always ensure a definite result. Here, in this topic, we will learn about odd numbers 1 to 1000.

Odd Numbers 1 to 1000

In a simple way, odd numbers are not multiples of 2. In this article, we will learn of those odd numbers lying between 1 and 1000. There are a total of 500 odd numbers lying in this range, where 1 is the smallest and 999 is the largest odd number.
 

Odd Numbers 1 to 1000 Chart

The odd numbers chart helps you to understand the odd numbers between 1 and 1000. These charts will help you to learn odd numbers using patterns and practice by counting. Take a look at the list of odd numbers and its charts for a better understanding.
 

Odd Numbers from 1 to 250

Odd Numbers from 251 to 500

Odd Numbers from 501 to 750

Odd Numbers from 751 to 1000

List of Odd Numbers 1 to 1000

Numbers cannot be odd and even. Odd numbers between 1 and 10000 are 1, 3, 5, 7, 9, 11, 13,......, up to 999 with a common difference of 2 between 2 odd numbers. All these numbers cannot be divided into pairs or equal halves. The numbers from 1 to 1000 consist of 500 odd numbers. Let’s look into the list of odd numbers and their charts given below:

List of Odd Numbers 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 101 103 105 107 109 111 113 115 117 119 121 123 125 127 129 131 133 135 137 139 141 143 145 147 149 151 153 155 157 159 161 163 165 167 169 171 173 175 177 179 181 183 185 187 189 191 193 195 197 199 201 203 205 207 209 211 213 215 217 219 221 223 225 227 229 231 233 235 237 239 241 243 245 247 249 251 253 255 257 259 261 263 265 267 269 271 273 275 277 279 281 283 285 287 289 291 293 295 297 299 301 303 305 307 309 311 313 315 317 319 321 323 325 327 329 331 333 335 337 339 341 343 345 347 349 351 353 355 357 359 361 363 365 367 369 371 373 375 377 379 381 383 385 387 389 391 393 395 397 399 401 403 405 407 409 411 413 415 417 419 421 423 425 427 429 431 433 435 437 439 441 443 445 447 449 451 453 455 457 459 461 463 465 467 469 471 473 475 477 479 481 483 485 487 489 491 493 495 497 499 501 503 505 507 509 511 513 515 517 519 521 523 525 527 529 531 533 535 537 539 541 543 545 547 549 551 553 555 557 559 561 563 565 567 569 571 573 575 577 579 581 583 585 587 589 591 593 595 597 599 601 603 605 607 609 611 613 615 617 619 621 623 625 627 629 631 633 635 637 639 641 643 645 647 649 651 653 655 657 659 661 663 665 667 669 671 673 675 677 679 681 683 685 687 689 691 693 695 697 699 701 703 705 707 709 711 713 715 717 719 721 723 725 727 729 731 733 735 737 739 741 743 745 747 749 751 753 755 757 759 761 763 765 767 769 771 773 775 777 779 781 783 785 787 789 791 793 795 797 799 801 803 805 807 809 811 813 815 817 819 821 823 825 827 829 831 833 835 837 839 841 843 845 847 849 851 853 855 857 859 861 863 865 867 869 871 873 875 877 879 881 883 885 887 889 891 893 895 897 899 901 903 905 907 909 911 913 915 917 919 921 923 925 927 929 931 933 935 937 939 941 943 945 947 949 951 953 955 957 959 961 963 965 967 969 971 973 975 977 979 981 983 985 987 989 991 993 995 997 999

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Sum of Odd Numbers 1 to 1000

We can calculate the sum of all odd numbers from 1 to 1000 using the formula S = n/2 (first odd number + last odd number), where n is the total count of odd numbers within 1 to 1000. As there are 500 odd numbers (n = 500) between 1 and 1000, we can substitute these values into the formula

 S = n/2 (first odd number + last odd number)

S = 500/2 (1+999)

This simplifies to:

S = 250  x 1000

S = 250,000

Therefore, we get the sum as 250,000 odd numbers between 1 and 1000.
 

Subtraction of Odd Numbers 1 to 1000

Subtracting two odd numbers results in even numbers. While subtracting an odd number from an even number results in an odd number. For example, If you subtract 10 - 3, you get 7 which is an odd number. Whereas, subtracting an odd number from an odd number will always result in an even number. For example, 7 - 3 you get 4, which is an even number.

Odd Prime Numbers 1 to 1000

We know that except 2 all the other prime numbers are odd numbers. However, not all odd numbers are prime numbers. For example, 15, 21, 25, etc, are odd numbers but not prime numbers. It cannot be an odd number, because it has more than two factors other than 1 and the number itself. The smallest odd prime number is 3.
 

Problem 1

How many odd numbers are there between 1 and 1000?

Okay, lets begin

There are 500 odd numbers.
 

Explanation

Odd numbers between 1 and 1000 form an arithmetic sequence like 1, 3, 5,....999. 

The total count is given by (last term – first term) divided by the common difference + 1. That is, 

(last term - first term)  ÷ Common Difference  + 1 

    (999 – 1)  ÷ 2 + 1 = 500.

Well explained 👍

Problem 2

What is the sum of all odd numbers between 1 and 1000?

Okay, lets begin

 The sum is 250,000
 

Explanation

The sum of the first n odd numbers given by n2. There are 500 odd numbers, so 5002 which is equal to 250,000
 

Well explained 👍

Problem 3

What is the largest odd number between 1 and 1000?

Okay, lets begin

The largest odd number is 999

Explanation

Odd numbers alternate with even numbers. Since 1000 is even, the largest odd number, it is 999. 
 

Well explained 👍

Problem 4

What is the difference between two consecutive odd numbers?

Okay, lets begin

 The difference is always 2.
 

Explanation

The common difference between two consecutive odd numbers is always 2 in an arithmetic sequence, e.g., 1, 3, 5, etc.

Well explained 👍

Problem 5

Imagine that you have 15 candies, and want to share them with your 3 friends so that everyone gets an odd number of candies. Is it possible?

Okay, lets begin

Yes, it is possible.
  

Explanation

So, given that the total number of candies is 15.

Number of friends = 3

If you divide the number of candies by the number of friends, you get 

The odd number of candies that each will get = No. of candies  / No. of Friends

= 15 / 3 = 5 


The number of candies each friend will get is 5, which is an odd number.

Therefore, it is possible.
 

Well explained 👍

FAQs on Odd Numbers 1 to 1000

1.What are odd numbers?

Odd numbers are not divisible by 2. They always end with 1, 3, 5, 7, or 9. 
 

2.How many odd numbers are there between 1 and 1000?

The odd numbers between 1 and 1000 are 500.
 

3.What is the smallest odd number?

1 is the smallest odd number.
 

4.What is the largest odd number between 1 and 1000?

999 is the largest odd number between 1 and 1000.
 

5.What is the difference between two consecutive odd numbers?

2 is the difference between two consecutive odd numbers.
 

Important Glossaries for Odd Numbers 1 to 1000

  • Odd Numbers: Integers that cannot be evenly divided by 2 are odd numbers. For example, 1, 3, 5, etc.
  • Prime Numbers: A prime number is an integer greater than one that has no divisors other than 1 and itself, for example, 3 is a prime number because it has 2 factors - 1 and 3 itself. 
  • Common Difference: Numbers that are added or subtracted with the same amount are called common differences. For example, 3 - 2 = 1, 2 - 1 = 1.
     

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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.

Fun Fact

: She loves to read number jokes and games.