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Even vs. Odd vs. Prime Numbers

Even numbers are integers that are divisible by 2. They end in 0, 2, 4, 6, or 8.

Examples: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Odd numbers are integers that are not divisible by 2. They end in 1, 3, 5, 7, or 9.

Examples: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

Prime numbers are natural numbers greater than 1 that have only two divisors: 1 and themselves.

Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

Composite numbers are natural numbers greater than 1 that have more than two divisors.

Examples: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

The only even prime number is 2. All other prime numbers are odd.

Here's a visual representation:

Venn diagram showing the relationships between even, odd, prime, and composite numbers

Key points to remember:

1 is neither prime nor composite.

2 is the only even prime number.

All other prime numbers are odd.

Let me know if you have any other questions about number theory or anything else!

Even odd prime description

Even Numbers

Definition: Integers that are perfectly divisible by 2.

Characteristics:

End in 0, 2, 4, 6, or 8.

Examples: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Odd Numbers

Definition: Integers that are not divisible by 2.

Characteristics:

End in 1, 3, 5, 7, or 9.

Examples: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

Prime Numbers

Definition: Natural numbers greater than 1 that have only two distinct divisors: 1 and themselves.

Characteristics:

Not divisible by any other number except 1 and itself.

Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.


Relationship Between Even, Odd, and Prime Numbers

The only even prime number is 2.

All other prime numbers are odd.

Key Points

1 is neither prime nor composite.

2 is the only even prime number.

All other prime numbers are odd.
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