# Concept of Even and Odd Number

#### definition

Even Number: A number with 0, 2, 4, 6, 8 at the one's place is an even number.

Odd Number: A number with 1, 3, 5, 7, 9 at the one's place is an odd number.

# Even and Odd number:

### 1. Even Numbers:

• A number with 0, 2, 4, 6, 8 at the one's place is an even number.
• So, 350, 4862, 59246 are even numbers.

### 2. Odd Numbers:

• A number with 1, 3, 5, 7, 9 at the one's place is an odd number.
• The numbers 457, 2359, 8231 are all odd.

## 3. Facts about odd and even numbers:

• The sum of three odd numbers is an odd number. Example, 3 + 5 + 7 = 15, i.e., odd.

• The sum of two odd numbers and one even number is even. Example, 3 + 5 + 6 = 14, i.e., even.

• The product of three odd numbers is odd.  Example, 3 × 5 × 7 = 105, i.e., odd.

• If an even number is divided by 2, the quotient is always even. Example, 4 ÷ 2 = 2, i.e., even.

• Prime numbers are both even and odd. 2 is the smallest prime number which is even. Every prime number except 2 is odd.

• The sum of the two prime numbers is both even and odd. Example, 2 + 3 = 5, i.e., odd.

• 2 is the only even prime number.

• All even numbers are composite numbers except 2 is a prime number.

• The product of two even numbers is always even. Example, 2 × 4 = 8, i.e., even.
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