Last updated on May 26th, 2025
The numbers that cannot be divided equally into two parts are the odd numbers. Mostly, odd numbers of people are used in breaking ties for election. We are discussing “Odd Numbers 1 to 500” in this topic.
Odd numbers can be classified into two types – composite odd numbers and consecutive odd numbers.
Odd numbers follow these properties.
The pictorial representation helps children learn odd numbers easily. By using this chart, children can know the sequence and series of numbers. Let’s take a look at the odd number chart, ranging between 1 and 500.
Odd numbers are not divisible by the number 2. To find odd numbers, we can use the formula: (2n + 1) where n is an integer. For example, if n = 2 then 2n + 1 = 2(2) + 1 = 4 + 1 = 5, which is an odd number.
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 |
1. Squaring an odd number, meaning multiplying an odd number by itself, always gives an odd number. For example, the square of 5 is 5 5 = 25, which is an odd number.
2. When you add odd numbers starting from 1, the total becomes a perfect square. For example, adding odd numbers from 1 to 9: 1 + 3 + 5 + 7 = 16, which is a perfect square.
3. Prime numbers are the numbers that have only two factors 1 and the number alone.
Let’s take a look at a list of odd numbers from 1 to 500
1, 3, 5, 7, 9, 11, 13, 15, 17, .............., 461, 463, 465, 467, 469, 471, 473, 475, 477, 479, 481, 483, 485, 487, 489, 491, 493, 495, 497, 499.
For the sum of odd numbers, a simple formula is used -
Sum of odd numbers = (n)2
Here, n = 250 because there are 250 odd numbers from 1 to 500. Substitute n = 250 into the formula, we get
The sum of odd numbers from 1 to 500 = (250)2 = 62500
When you subtract one odd number from another , the result is always an even number.
Odd – Odd = Even
Example: 11 – 3 = 8
From the above example, 11 and 3 are odd numbers. When we subtract 3 from 11 we get 8, which is an even number.
The positive numbers are positive numbers having exactly two factors, 1 and themselves, which are called prime numbers. The prime numbers which are not divisible by 2 are called odd prime numbers. All prime numbers other than 2 are odd numbers.
Example for odd prime numbers: 3, 5, 7, 11, 13,.........
A few points to remember for odd numbers are as follows -
Find the 100th odd number.
(2 100) – 1
= 200 – 1 = 199
The 100th odd number is 199.
To find the 100th odd number, we are using the formula 2n - 1 where n is the nth number. By substituting n = 100 into the formula, we get the 100th odd number as 199.
Calculate the sum of odd numbers from 1 to 100.
The sum of odd numbers from 1 to 100 is (50)2=2500.
To calculate the sum of odd numbers from 1 to 100, we use the formula (n)2. Here, n = 50 because there are 50 odd numbers from 1 to 100, by substituting n = 50 into the formula, we get (50)2. After simplification, we get the sum of odd numbers from 1 to 100 is 2500.
Calculate the number of odd numbers divisible by 5 between 1 and 500.
The number of odd numbers that are divisible by 5 between 1 and 500 is 495-5 /10+1 = 49 + 1 = 50.
We can write an odd number divisible by 5 as 5k, where k is any integer. The smallest number is 5 and the largest number (l) is 495. This follows an arithmetic sequence, where a = 5 and common difference d = 10. By substituting them into the arithmetic sequence formula l-a / d+1, we get 495-5 / 10+1 = 50.
David bought 67 bags. He gave 45 of the bags to his brother. How many bags does David have currently?
67 (odd) - 45 (odd) = 22 (even).
David currently has 22 bags.
Subtracting 45 bags from 67 bags, we get the number of bags that were left with David, i.e. 67 - 45 = 22. This obeys the subtraction property of odd numbers, which states that the difference between two odd numbers is always an even number.
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.