Last updated on May 26th, 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.
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.
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.
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 |
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.
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.
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.
How many odd numbers are there between 1 and 1000?
There are 500 odd numbers.
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.
What is the sum of all odd numbers between 1 and 1000?
The sum is 250,000
The sum of the first n odd numbers given by n2. There are 500 odd numbers, so 5002 which is equal to 250,000
What is the largest odd number between 1 and 1000?
The largest odd number is 999
Odd numbers alternate with even numbers. Since 1000 is even, the largest odd number, it is 999.
What is the difference between two consecutive odd numbers?
The difference is always 2.
The common difference between two consecutive odd numbers is always 2 in an arithmetic sequence, e.g., 1, 3, 5, etc.
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?
Yes, it is possible.
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.
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.