# What is a compound number 2

## What is a compound number? Definition, examples.

### Compound number definition

- The numbers (greater than 1) that are only divided by themselves and by 1 are called prime numbers.
- A composite number is a natural number whose prime factorization consists of at least two factors.

They are the counterpart to the prime numbers.

### Examples of compound numbers. Examples of numbers that are not composed, but prime numbers.

**1 is not a composite number; 1 is not a prime number; so that the composite numbers start with 4;**- 2 is only divisible by 2 and 1, so 2 is a prime number;
- 3 is only divided by 3 and 1, so is a prime number;
- 4 is divisible by 4, 2 and 1, so 4 is not a prime number, it is a composite number; 4 = 2
^{2}; - 6 is divisible by 6, 3, 2 and 1, so 6 is not a prime number, it is a composite number; 6 = 2 × 3;
- 8 is divisible by 8, 4, 2 and 1, so 8 is not a prime number, it is a composite number; 8 = 2
^{3}; - 9 is divisible by 9, 3 and 1, so 6 is not a prime number, it is a composite number; 9 = 3
^{2}; - 10 is divisible by 10, 5, 2 and 1, so 10 is not a prime number, it is a composite number; 10 = 2x5;
- 12 is divisible by 12, 6, 4, 3, 2 and 1, so 12 is not a prime number, it is a composite number; 12 = 2
^{2}× 3;

### Examples of composite numbers up to 100:

- 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20,
- 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40,
- 42, 44, 45, 46, 48, 49, 50, 52, 54, 55, 56, 57, 58, 60,
- 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80,
- 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

#### EUCLID (300 BC) proved that the set of prime numbers is infinite, ** there is no such thing as the greatest prime number **.

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