Prime Numbers and Composite Numbers

# Prime Numbers and Composite Numbers

## What are Prime Numbers and Composite Numbers?

A prime number is a natural number that has only two distinct natural number divisors, 1 and itself. Composite numbers are natural numbers that have more than two distinct natural number divisors.

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## List of Prime Numbers from 1 to 100

The prime numbers are those that are only divisible by themselves and 1. Here is a list of the first 100 prime numbers:

1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

## Composite Numbers

A composite number is a number that can be divided by more than two numbers. The number 1 is not composite because it can only be divided by 1 and itself. The number 2 is composite because it can be divided by 1, 2, and 4. The number 3 is composite because it can be divided by 1, 3, and 9.

## Types of Composite Numbers

There are three types of composite numbers:

1. A number that is the product of two or more prime numbers is called a composite number.

2. A number that can be expressed as the sum of two or more squares is called a composite number.

3. A number that can be expressed as the sum of two or more cubes is called a composite number.

## List of Composite Numbers from 1 to 100

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100

## Prime Numbers

A prime number is a natural number that has exactly two distinct natural number divisors: 1 and itself.

The first few prime numbers are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

## Important Facts about Prime Numbers

A prime number is a number that can only be divided evenly by 1 and itself.

The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

There are an infinite number of prime numbers.

The number 6 is not prime because it can be divided evenly by 2 and 3.

The number 8 is not prime because it can be divided evenly by 2 and 4.

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