Numbers are found everywhere in mathematics as well as in day to day life. There are different types of numbers in mathematics. Prime numbers are one of the important ones. A prime number is a position integer that is divisible by only 1 and itself. i.e. there is no number other than 1 and itself that divides a prime number. There are various properties that prime numbers possess. These properties are listed below :

- Prime numbers are positive numbers greater than 1 .
- For a number to be a prime number, it must be non-zero whole number.
- Prime numbers are the numbers that cannot be divided by any number except themselves and one.
- Prime numbers have only two factors.
- The two factors of prime numbers are one and the number itself.
- The way of finding the prime numbers is called integer factorization or prime factorization.

In this page, we are going to see the list of prime numbers up to 100. So students, go ahead with us and learn about prime numbers.

The following are the **prime numbers up to 100**

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.

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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 |

The Greek Eratosthenes formed a technique to find out these prime numbers, although it only worked over a restricted range:

- Write out the numbers from 1 to 100 as shown above.
- Cross out the number 1, because all primes are greater than 1.
- Number 2 is a prime, so we can keep 2 as it is, and we cross out all the numbers that are multiplies of 2. (like 4,6,8,10 ....)
- Number 3 is also a prime number, so we keep 3 as it is and we cross out all the numbers that are the multiples of 3.( like 3,6,9,.......)
- The next number left is 5, so we keep 5 as it is and we cross out all the numbers that are the multiples of 5 (like 10 ,15, 20, 25.....)
- At last, the number left in the first row is number 7, now we keep 7 as it is and we cross out all the numbers that are the multiples of 7 (like 14, 21, 28 ......)
- Now, all the remaining numbers in the table are prime numbers.

- The only even prime number is 2 and the remaining even numbers can be divided by 2. So, it can't be a prime number.
- No prime number greater than 5 ends with a 5. Since any number greater than 5 that ends with a 5 can be divided by 5, it can't be a prime number.
- Zero and 1 are not considered as prime numbers.
- Except 0 and 1, a number is either a prime number or a composite number.

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