Any herbal number that is higher than 1 and also that is divisible just by 1 and itself have the right to be characterized as a prime number. There are 15 element numbers from 1 to 50. In this article, let us see how to find the element numbers indigenous 1 to 50 and we will certainly list these numbers.

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1.How to uncover Prime numbers From 1 come 50?
2.List of prime Numbers from 1 to 50
3.Solved Examples
4. FAQs on element Numbers 1 come 50

A prime number has exactly two factors and hence it can not be damaged down more into a product the two herbal numbers other than 1 and itself. Usually, in order to inspect if any number "n" is prime or not, we should follow 4 conditions. The conditions room as follows:


Condition 1: n must be a optimistic IntegerCondition 2: n must be specifically divisible by two various natural numbers, thus offering the remainder together zeroCondition 2a: n have to be divisible by 1Condition 2b: n have to be divisible by n itself

Always make a checklist as presented below, come remember the problems easily:

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In stimulate to discover the prime numbers from 1 come 50, we can use the Sieve that Eratosthenes algorithm as this algorithm helps us to perform all primes number quickly, up to a provided number. The Sieve the Eratosthenes algorithm follows as offered below:

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

Step 2: begin off through 2, as the number 1 have the right to be ignored because it is no a prime number. One 2 in the table because it adheres to the 4 conditions stated above. The shade all the multiples the 2 till 50. This eliminates all the also numbers (which are multiples of 2), and are no prime together they have much more than 2 factors.These room the multiples that 2 the are removed 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 50.

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Step 3: Repeat action 2 and circle the following smallest number 3 in the perform which will certainly be the next prime number as per the 4 problems stated above, adhered to by remove the multiples that 3. These are multiples of 3 that are got rid of 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 perform which will certainly be the next prime number together per the 4 conditions stated above, followed by eliminating the multiples the 5. These room the continuing to be multiples that 5 that are removed from the table: 25 and 35.

Step 5: Repeat action 2 and circle the next smallest number 7 in the list which will be the next prime number together per the 4 conditions stated above, complied with by remove the multiples the 7. In this step, 49 is the only remaining multiple of 7 the is got rid of from the table.

Step 6: Repeat action 2 and circle the following smallest number in the list which will be the following prime number as per the 4 conditions stated above. In each step, us circle the following smallest number as presented in below-image 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and also 47. No one of the prime numbers encircled in this step have any much more multiples left, that could be removed from the table.

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This is just how all the element numbers native 1 come 50 are noted as every the Sieve the Eratosthenes algorithm.


Let united state look in ~ the list of primes native 1 come 50 and also the amount of every under each selection in the table below:

Range of prime numbersQuantityPrime numbers
Prime numbers from 1 come 1042, 3, 5, 7
Prime number from 11 to 20411, 13, 17, 19
Prime numbers from 21 to 30223, 29
Prime numbers from 31 to 40231, 37
Prime number from 41 to 50341, 43, and 47

Hence, there room a total of 15 element numbers from 1 to 50.

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Important Notes

Here is a list 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 defined as a element numberA element number has precisely two factors and hence it cannot be damaged down more into a product the two natural numbers other than 1 and itself.In order to find the element numbers native 1 to 50, we have the right to use an algorithm referred to as Sieve the Eratosthenes together this algorithm helps united state to list the primes numbers quickly, as much as a provided number.There room 15 prime numbers indigenous 1 to 50. They are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.