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3 is the second prime number, and the second single digit prime number. 3's prime factors are 1 and 3. It is said to be the first odd prime, because the previous prime number is 2, which is even.

## Proofs

• It is divisible by 1: 3/1=3
• It is not divisible by 2: 3/2=1.5
• It is divisible by 3: 3/3=1
• Therefore it has 2 factors, not 3, because 3 divided by 2 does not result in an integer value.

## Relationship with other odd numbers

### The numbers before

• 2 is the first prime number. It is the only even prime number.
• 1, the number before 2, is not a prime number.

### The numbers after

• The next odd number, 5, is a prime number.
• There are no odd numbers between 3 and 5. As a result, they are twin primes.
• 7, the odd number following 5, is a prime number.
• 3 and 7 are four numbers apart, therefore, they are cousin primes.
• 9, the odd number following 7, is not a prime number. It is a square number, and the first odd composite number.

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