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Last updated on September 22, 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 elections. We are discussing “Odd Numbers 1 to 50” in this topic.
Odd numbers can be classified into two types – composite odd numbers and consecutive odd numbers.
The numbers that have factors more than two and greater than 1 are called composite numbers.
When a composite number is not divisible by 2, it is called a composite odd number.
For example, 9, 15, and 21 are composite odd numbers.
The pair of odd numbers that have a difference of 2 are called consecutive odd numbers. For example, 3 and 5 are consecutive odd numbers.
Odd numbers follow these properties. Odd numbers always end with 1, 3, 5, 7, or 9.
When you add two odd numbers, the result is always an even number.
Multiplying two odd numbers always gives another odd number.
The square of any odd number is always an odd number.
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 50.
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.
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 7: 1 + 3 + 5 = 9, which is a perfect square.
3. Prime numbers are the numbers that have only two factors: 1 and the number itself. Let’s take a look at a list of odd numbers from 1 to 50 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.
For the sum of odd numbers, a simple formula is used - Sum of odd numbers = n2 Here, n = 25 because there are 25 odd numbers from 1 to 50.
Substitute n = 25 into the formula, we get The sum of odd numbers from 1 to 50 = 252 = 625
When you subtract one odd number from another, the result is always an even number. Odd – Odd = Even
Example: 17 – 5 = 12
From the above example, 17 and 5 are odd numbers. When we subtract 5 from 17, we get 12, which is an even number. plain_heading7 Odd Prime Numbers 1 to 50
The positive numbers that have exactly two factors, 1 and themselves, 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, 17, 19, 23, 29, 31, 37, 41, 43, 47.
A few points to remember for odd numbers are as follows
- The smallest odd prime number is 3.
Excluding 2, all prime numbers are odd. The smallest positive odd number is 1.
625 is the total of all odd numbers from 1 to 50.
Find the 10th odd number.
(2 * 10) – 1 = 20 – 1 = 19 The 10th odd number is 19.
To find the 10th odd number, we are using the formula 2n - 1 where n is the nth number.
By substituting n = 10 into the formula, we get the 10th odd number as 19.
Calculate the sum of odd numbers from 1 to 25.
The sum of odd numbers from 1 to 25 is 13^2 = 169.
To calculate the sum of odd numbers from 1 to 25, we use the formula n2. Here, n = 13 because there are 13 odd numbers from 1 to 25.
By substituting n = 13 into the formula, we get the sum of odd numbers from 1 to 25 is 169.
Calculate the number of odd numbers divisible by 5 between 1 and 50.
The number of odd numbers that are divisible by 5 between 1 and 50 is 5.
We can write an odd number divisible by 5 as 5k, where k is any integer.
The numbers are 5, 15, 25, 35, 45. This follows an arithmetic sequence, where the first term is 5 and the common difference is 10.
Hence, there are 5 numbers.
Anna has 23 apples. She gives 7 apples to her friend. How many apples does Anna have currently?
23 (odd) - 7 (odd) = 16 (even). Anna currently has 16 apples.
Subtracting 7 apples from 23 apples, we get the number of apples left with Anna, i.e. 23 - 7 = 16.
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.