Odd Numbers 1 to 10

Odd numbers can be grouped into types like composite odd numbers and consecutive odd numbers.

Composite numbers are those with more than two factors.

A composite number that is not divisible by 2 is a composite odd number. For example, 9 is a composite odd number.

Pairs of odd numbers with a difference of 2 are consecutive odd numbers. For example, 1 and 3 are consecutive odd numbers. Odd numbers have distinct properties:

- Odd numbers always end with 1, 3, 5, 7, or 9.

- Adding two odd numbers always results in an even number.

- Multiplying two odd numbers always results in another odd number.

- The square of any odd number is always an odd number.

Visual aids help children learn odd numbers easily. Using this chart, children can grasp the sequence and order of numbers.

Here is a chart displaying odd numbers from 1 to 10.

Odd numbers are not divisible by 2.

To find odd numbers, we 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, or multiplying an odd number by itself, always results in an odd number. For example, the square of 3 is 3 * 3 = 9, which is an odd number.

2. Adding odd numbers starting from 1 results in a perfect square. For example, adding odd numbers from 1 to 3: 1 + 3 = 4, which is a perfect square.

3. Prime numbers are numbers with only two factors, 1 and the number itself.

Let’s take a look at the list of odd numbers from 1 to 10: 1, 3, 5, 7, 9.

For the sum of odd numbers, a simple formula is used

- Sum of odd numbers = n^2 Here, n = 5 because there are 5 odd numbers from 1 to 10.

Substitute n = 5 into the formula, we get The sum of odd numbers from 1 to 10 = (5)² = 25

When you subtract one odd number from another, the result is always an even number. Odd – Odd = Even

Example: 7 – 1 = 6 From the above example, 7 and 1 are odd numbers.

When we subtract 1 from 7, we get 6, which is an even number.

Odd Prime Numbers 1 to 10

Prime numbers have exactly two factors: 1 and themselves.

Prime numbers not divisible by 2 are odd prime numbers.

All prime numbers other than 2 are odd numbers. Example of odd prime numbers: 3, 5, 7.

Some points to remember for odd numbers are:

- The smallest odd prime number is 3.

- Excluding 2, all prime numbers are odd.

- The smallest positive odd number is 1.

• Composite numbers: Numbers greater than 1 having more than two factors. Example: 9 is a composite number because it is divisible by 1, 3, and 9.

• Perfect square: A number that is the product of a number multiplied by itself. Example: 9 is a perfect square because it is obtained by multiplying 3 by 3 (3 * 3).

• Odd prime numbers: Prime numbers that are not divisible by 2. Example: 5 is an odd prime number because 5 is a prime number and not divisible by 2.

• Consecutive odd numbers: Odd numbers that follow one another, differing by 2. Example: 1 and 3. Odd numbers: Numbers that are not divisible by 2. Examples: 1, 3, 5, 7, 9.