Prime Numbers are the numbers that have two factors 1 and itself. Know the Prime Numbers Definition, List from 1 to 100, Types, Properties, etc. by going through the further modules. There is no predefined formula to find out whether a number is a prime number or not. However, formulas exists for a certain range and we have outlined the different ways of finding prime numbers in this page.

Additional Read:

## What are Prime Numbers?

A Number is said to be Prime if it is a Positive Integer that has only two factors. In Other Words, we can put it as numbers that can’t be divided into equal groups are known as Prime Numbers. For suppose, if n is a prime number then the factors would be 1 and itself. First Ten Prime Numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Remember 1 doesn’t come under Prime Numbers.

### Prime Numbers List

There are 25 Prime Numbers in Total between 1-100 Numbers. Check out the below table to be aware of Prime Numbers between different set of numbers ranging from 1 to 100.

Numbers List |
Prime Numbers |

Between 1-10 | 2, 3, 5, 7 |

Between 11-20 | 11, 13, 17, 19 |

Between 21-30 | 23, 29 |

Between 31-40 | 31, 37 |

Between 41-50 | 41, 43, 47 |

Between 51-100 | 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 |

### Prime Numbers from 1-100

Get to know about the Prime Numbers Up to 100 by referring to the below table containing list of prime numbers arranged in systematic order. For easy identification, we have colored the prime numbers in pink. Keep the Prime Numbers Chart handy by downloading it for free of cost. Stick it on your walls and try to memorize them before you go to bed and learn the Prime Numbers to 100 easily.

### Properties of Prime Numbers

Few Important Properties regarding Prime Numbers is given as below. They are along the lines

- Any Number greater than 1 can be divided by at least 1 prime number.
- Prime Number has 2 factors exactly that is 1 and itself.
- We can express every even positive integer > 2 as the sum of two primes.
- Other than 2 all other prime numbers are odd numbers. Or else we can say 2 is the only even prime number.
- Two Prime Numbers will always be Co-Primes to Each Other.

### Types of Prime Numbers

There are several types of prime numbers. Check out each of them in the below sections. They are as such

- Even Prime Number
- Twin Prime Numbers
- Coprime Numbers

**Even Prime Number: **Prime Numbers are the numbers that have only 2 factors and the ones divisible by 2 are called even numbers. 2 is the only even prime number and the rest are called odd prime numbers.

**Twin Prime Numbers: **Prime Numbers that have only one composite number between them are known as twin prime numbers or twin primes. In Other words, we can say that twin prime numbers are those that differ by 2 only.

(17, 19) [19 – 17 = 2]

(29, 31) [31 – 29 = 2]

(41, 43) [43 – 41 = 2] are all examples of twin primes and have a difference of 2 between them.

**Coprime Numbers: **Pair of Numbers that have one common factor between them are known as Coprime Numbers. 41, 43 are called Coprimes as the common factor is only 1 between them.

### Difference Between Prime Numbers and Composite Numbers

Prime Numbers |
Composite Numbers |

Prime Numbers have only two factors. | Composite Numbers have more than two factors. |

These are divisible by the number 1 and itself. For Example, 3 is divisible by 1 and 3. | These are divisible all its factors. For Example, 6 is divisible by 1, 2, 3, 6 |

Examples: 2, 3, 5, 7, 11, 13, 17, 19, etc. | Examples: 4, 6, 8, 10, 15, 80, etc. |

### How to find Prime Numbers?

There are several techniques to find Prime Numbers and we have provided a few of them below. They are as such

**Method 1:**

To Know the Prime Numbers greater than 40 you can go with the formula n^{2} + n + 41. Substitute the whole numbers in the formula, where n=0, 1, 2, 3…..39

Let us check for few whole numbers as such

(0)^{2} + 0 + 0 = 41

(1)^{2} + 1 + 41 = 43

(2)^{2} + 2 + 41 = 47

…..

Continue the process and find all other prime numbers too.

**Method 2:
**We can write any prime number other than 2 and 3 in the form of 6n+1 or 6n-1. If you have any numbers different from 2 or 3 you can check whether it is prime or not.

6(1) – 1 = 5

6(1) + 1 = 7

6(2) – 1 = 11

6(2) + 1 = 13

6(3) – 1 = 17

6(3) + 1 = 19

6(4) – 1 = 23

### FAQs on Prime Numbers

**1. How many factors does a prime number have?**

A Prime Number has exactly two factors, i.e. 1 and the number itself.

**2. Is 1 a Prime Number?**

No, 1 isn’t a prime number as it doesn’t satisfy the definition of prime numbers that a number should have factors one and itself. 1 has one and only factor that is 1 itself.

**3. Which is the Smallest Prime Number?**

Smallest Prime Number is 2 and it has exactly two factors i.e. 1 and itself.

**4. What are all Prime Numbers from 1 to 100?**

Prime Numbers from 1 to 100 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.