# Is zero an odd number or an even number ?

Last Updated : 08 Jan, 2024

Zero is an even number. It’s a common misconception to think of zero as “neither even nor odd” or as a special case. However, zero is universally accepted as even. This classification helps in various mathematical concepts, ensuring consistency in patterns and formulas. For example, when counting in even numbers (like 0, 2, 4, 6, and so on), zero is the starting point, further reinforcing its status as an even number.

Now, when you divide zero by 2, you get zero, with no remainder. This fits perfectly into the definition of an even number. In mathematical terms, 0 divided by 2 equals 0, with a remainder of 0. This means zero meets the criteria for being an even number.

## Zero in Mathematical Operations

In mathematical operations, zero plays a fundamental and unique role:

### Zero in Addition and Subtraction:

• Adding zero to any number does not change the number; this is known as the identity property of addition. For example, 5 + 0 = 5.
• Subtracting zero from a number also does not alter the number (10 – 0 = 10), and subtracting a number from zero gives its negative (0 – 3 = -3).

### The Role of Zero in Multiplication and Division:

• Multiplying any number by zero results in zero, which reflects the property that zero times any quantity is zero.
• Dividing a number by zero is undefined, as division by zero doesn’t provide a meaningful result in standard arithmetic.
• However, zero divided by any non-zero number is always zero. For instance, 0 Ã· 5 = 0.

These roles of zero are fundamental in mathematics and are key to understanding basic arithmetic operations and algebraic principles.