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

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 1 How to find Prime number From 1 to 50? 2 List of element Numbers indigenous 1 come 50 3 Solved Examples 4 FAQs on element Numbers 1 come 50

A prime number has exactly two factors and also hence it can not be damaged down further into a product of two herbal numbers other than 1 and itself. Usually, in bespeak to examine if any type of number "n" is element or not, we must follow 4 conditions. The conditions space as follows:

Condition 1: n should be a hopeful IntegerCondition 2: n need to be exactly divisible through two different natural numbers, thus giving the remainder together zeroCondition 2a: n have to be divisible by 1Condition 2b: n should be divisible by n itself

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

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

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

Step 2: start off through 2, as the number 1 have the right to be ignored due to the fact that it is no a prime number. One 2 in the table due to the fact that it complies with the 4 conditions stated above. Shade all the multiples the 2 until 50. This eliminates every the also numbers (which room multiples the 2), and are no prime as they have more than 2 factors.These room the multiples that 2 that 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 50.

Step 3: Repeat step 2 and circle the next smallest number 3 in the list which will certainly be the next prime number together per the 4 conditions stated above, followed by remove the multiples that 3. These space multiples of 3 that are got rid of from the table: 9,15,21,27,33,39, and also 45.

Step 4: Repeat action 2 and also circle the next smallest number 5 in the list which will be the next prime number as per the 4 conditions stated above, complied with by eliminating the multiples that 5. These space the remaining multiples of 5 the are got rid of from the table: 25 and also 35.

Step 5: Repeat step 2 and also circle the following smallest number 7 in the perform which will be the next prime number as per the 4 problems stated above, followed by removed the multiples the 7. In this step, 49 is the just remaining many of 7 the is removed from the table.

Step 6: Repeat action 2 and also circle the following smallest number in the perform which will certainly be the next 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 47. None of the prime numbers encircled in this step have any much more multiples left, that could be got rid of from the table.

This is how all the element numbers indigenous 1 come 50 are detailed as per the Sieve that Eratosthenes algorithm.

Let us look in ~ the list of primes from 1 to 50 and also the amount of every under each selection in the table below:

 Range of element numbers Quantity Prime numbers Prime number from 1 to 10 4 2, 3, 5, 7 Prime number from 11 to 20 4 11, 13, 17, 19 Prime number from 21 come 30 2 23, 29 Prime numbers from 31 to 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 list of a few points that have to be remembered while studying prime numbers from 1 come 50:

Any herbal number greater than 1 that is divisible only by 1 and itself, is defined as a prime numberA prime number has precisely two factors and also hence it can not be broken down additional into a product of two natural numbers other than 1 and also itself.In bespeak to uncover the prime numbers indigenous 1 come 50, we have the right to use an algorithm called Sieve of Eratosthenes together this algorithm helps us to perform the primes number quickly, approximately a provided number.There room 15 element numbers native 1 come 50. They are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.