Maths

# What Are Odd Numbers? | Definition, Meaning, Examples, Odd Numbers List [1 to 1000]

Written by Prerit Jain

Updated on: 23 May 2023

Contents

### What Are Odd Numbers? | Definition, Meaning, Examples, Odd Numbers List [1 to 1000]

In whole numbers, there are two categories of numbers: odd numbers and even numbers. Odd numbers are the numbers that, when divided by 2, leave 1 as the remainder. In this article, you will learn about odd numbers, their types, properties, and fun odd-number facts. Scroll down to find out more.

Looking to Learn Math? Book a Free Trial Lesson and match with top Math Tutors for concepts, homework help, and test prep.

**What are odd numbers?**

Odd numbers are those numbers that cannot be divided by 2. For example, 1, 3, 5, and 7 are odd numbers because when we divide them by 2, it will leave 1 as a remainder. Odd numbers don’t come in the table of even numbers, such as 2, 4, and 6.

Checking the place value of odd integers is the most effective method of identification. For example, the number 59031 is an odd number, since one appears in the one’s place value.

In simpler words, any number ending with the numbers 1, 3, 5, 7, and 9 is an odd number.

**How to identify odd numbers?**

Many of us generally get confused between odd and even numbers and make silly mistakes in examinations. A few ways through which we can identify the odd numbers are given below:

- Even numbers are completely and evenly divisible by 2, whereas odd numbers are not completely divisible by two. Hence, see if the given number is divisible by 2. If the given number is divisible by 2, then it is an even number, else it’s an odd number.
- When you divide an odd number by 2, it will always give 1 as the remainder. Even numbers are separable into two equal sections. But an odd number will leave an odd number as a reminder and cannot be separated into two equal sections.
- Another easy way to identify odd and even numbers are by the last digits of any number. If one’s place number is 1, 3, 5, 7, 9, etc., then it’s an odd number. Similarly, if the last digit is 0, 2, 4, 6, or 8, then it’s an even number.

**Types of odd numbers**

There are two types of odd numbers: composite and consecutive. Below is a clear explanation for both types:

**Composite Odd Numbers:**The odd numbers that are not prime numbers are known as composite odd numbers. For example, 1 and other prime numbers like 3, 5, 7, etc., are not composite odd numbers. However, 9, 15, 21, etc. are composite odd numbers.

**Consecutive odd numbers:**The odd numbers that occur in a row are known as consecutive odd numbers. When odd numbers come in a sequence like 1, 3, 5, 7, 9, 11, 13, or 15, it is known as consecutive odd numbers.

**Properties of odd numbers**

It’s time to play with odd numbers and learn some properties and how they react with other numbers. There are four major properties of odd numbers, and they are:

**Addition of odd numbers**

When we add two odd numbers, the result is an even number.

**Odd + Odd = Even Number**

**Solved examples: **

- 3 + 5 = 8
- 7 + 3 = 10,
- 3 + 9 = 12.

**Try Yourself: **

- 1 + 3 = ___
- 5 + 9 = ___
- 7 + 1 = ___

**Subtraction of odd numbers**

When two odd numbers are subtracted, the result is an even number.

**Odd – Odd = Even Number**

**Solved examples: **

- 5 – 1 = 4
- 9 – 7 = 2
- 15 – 5 = 10

**Try Yourself: **

- 3 – 1 = ___
- 5 – 3 = ___
- 9 – 5 = ___

**Multiplication of odd numbers**

Unlike the addition and subtraction of odd numbers, the multiplication of odd numbers is quite different. When we multiply two odd numbers, their product is going to be an odd number.

**Odd X Odd = Odd Number**

**Solved examples: **

- 1 x 5 = 5
- 3 x 7 = 21
- 9 x 7 = 63

**Try Yourself:**

- 5 x 3 = ___
- 9 x 1 = ___
- 3 x 3 = ___

**Division of odd numbers**

When two odd numbers are divided, the result is an odd number.

**Odd / Odd = Odd Number**

**Solved examples:**

- 15 / 3 = 5
- 29 x 3 = 3
- 1 / 3 = 7

**Try Yourself: **

- 21 / 7 = ___
- 25 / 5 = ___
- 27 / 3 = ___

**List of odd numbers 1 to 1000**

The odd numbers chart from 1 to 1000 is given below:

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 |

Looking to Learn Math? Book a Free Trial Lesson and match with top Math Tutors for concepts, homework help, and test prep.

**FAQs**

**What is the smallest Odd Number? **

The smallest Odd Number is 1 and the smallest Composite odd Number is 9.

**How many odd numbers are from counting 1 to 100? **

There are 50 Odd and 50 Even Numbers.

**0 is the Odd Number of Even Number? **

0 is an Even Number because it is divisible by 2 and gets 0 as a remainder, for example, when we divide 0 / 2 is 0.

**Can a number be both Odd and Even? **

No. Odd Numbers and Even numbers are exclusive numbers and that’s why a given number cannot be the same.

Knowledge of odd numbers is one of the fundamentals of mathematics. Also, it’s not that hard; it just needs a little practice and time to get familiar with odd numbers. We hope all your questions related to odd numbers have been answered in this article.

Written by by

Prerit Jain