## Odd Numbers

All number that cannot be multiplied by two is called odd numbers. For example- 1,3,5,7,9, 11, etc. are odd numbers. Whereas numbers like 2,4,6,8,10 that are completely divided by two are known as even numbers.

These numbers are in the form of 2k+1, where k can be any integer. A number line comprises both even and odd numbers that are also a set of integers. Between 1 and 50, there are 25 odd numbers. Between 1 and 100, there are 50 odd numbers in total.

Properties of Odd Numbers:

When two odd numbers are added, they form an even number (For example, 3+5=8, which is an even number)

When two odd numbers are subtracted, they form an even number (For example, 5-3=2, which is an even number)

When two odd numbers are multiplied, they form an odd number (For example, 3*5=15, which is an odd number)

When two odd numbers are divided, they form an odd number (For example, 15/5=3, which is an odd number)

There are two types of odd numbers:

• Consecutive odd numbers: An odd number and the number obtained by adding 2 to that number is a consecutive odd number.
• Composite odd numbers: They are the odd integer formed as a result of multiplying two smaller integers (positive) or multiplying the number with one. Example: 9, 15, 21, 25, 27