Any organic number the is higher than 1 and that is divisible only by 1 and itself deserve to be characterized as a prime number. There are 15 element numbers indigenous 1 come 50. In this article, let united state see just how to discover the element numbers native 1 come 50 and also we will certainly list this numbers.

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1. | How to discover Prime numbers From 1 to 50? |

2. | List of prime Numbers native 1 to 50 |

3. | Solved Examples |

4. | FAQs on element Numbers 1 come 50 |

A prime number has specifically two factors and also hence it cannot be broken down further into a product of two herbal numbers various other than 1 and itself. Usually, in stimulate to examine if any type of number "n" is element or not, we need to follow 4 conditions. The conditions are as follows:

**Condition 1:**

*n*should be a optimistic Integer

**Condition 2:**

*n*should be precisely divisible by two various natural numbers, thus providing the remainder as zero

**Condition 2a:**

*n*need to be divisible by 1

**Condition 2b:**

*n*need to be divisible by

*n*itself

Always make a checklist as shown below, to remember the conditions easily:

In bespeak to discover the prime numbers from 1 come 50, we have the right to use the Sieve that Eratosthenes algorithm as this algorithm helps united state to perform all primes number quickly, up to a offered number. The Sieve of Eratosthenes algorithm complies with as offered below:

**Step 1:** make a table the 5 rows and also 10 columns beginning with 1 proceeding until 50, as displayed in the listed below image.

**Step 2:** begin off with 2, together the number 1 can be ignored because it is no a element number. Circle 2 in the table due to the fact that it adheres to the 4 problems stated above. The shade all the multiples of 2 until 50. This eliminates every the also numbers (which space multiples of 2), and are not prime as they have an ext than 2 factors.These are the multiples that 2 the are got rid of from the table: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48, and also 50.

**Step 3: ** Repeat step 2 and also circle the next smallest number 3 in the perform which will certainly be the following prime number as per the 4 problems stated above, followed by remove the multiples of 3. These space multiples of 3 that are removed from the table: 9,15,21,27,33,39, and 45.

**Step 4: **Repeat action 2 and circle the next smallest number 5 in the list which will certainly be the next prime number as per the 4 problems stated above, complied with by eliminating the multiples the 5. These room the remaining multiples of 5 that are removed from the table: 25 and 35.

**Step 5: **Repeat step 2 and circle the following smallest number 7 in the list which will certainly be the next prime number together per the 4 conditions stated above, followed by removed the multiples of 7. In this step, 49 is the just remaining multiple of 7 that is eliminated from the table.

**Step 6: **Repeat action 2 and circle the next smallest number in the perform which will certainly be the next prime number as per the 4 conditions stated above. In every step, we circle the next smallest number as displayed in below-image 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and also 47. Nobody of the prime numbers encircled in this step have any more multiples left, that might be eliminated from the table.

This is exactly how all the prime numbers native 1 to 50 are provided as every the Sieve of Eratosthenes algorithm.

Let us look in ~ the perform of primes native 1 come 50 and also the amount of each under each variety in the table below:

Range of prime numbers | Quantity | Prime numbers |

Prime number from 1 to 10 | 4 | 2, 3, 5, 7 |

Prime numbers from 11 to 20 | 4 | 11, 13, 17, 19 |

Prime numbers from 21 to 30 | 2 | 23, 29 |

Prime number from 31 come 40 | 2 | 31, 37 |

Prime numbers from 41 to 50 | 3 | 41, 43, and 47 |

Hence, there are a full of 15 prime numbers indigenous 1 come 50.

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**Important Notes**

Here is a perform of a few points that need to be mental while examining prime number from 1 to 50:

Any herbal number greater 보다 1 that is divisible just by 1 and itself, is identified as a prime numberA prime number has specifically two factors and hence it cannot be damaged down further into a product the two organic numbers other than 1 and itself.In stimulate to discover the element numbers from 1 come 50, we have the right to use an algorithm called Sieve the Eratosthenes as this algorithm helps us to perform the primes numbers quickly, approximately a given number.There are 15 element numbers from 1 come 50. They space 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.