Any herbal number that is greater than 1 and that is divisible only by 1 and itself can be defined as a prime number. There space 15 prime numbers indigenous 1 come 50. In this article, let us see exactly how to uncover the element numbers from 1 come 50 and we will certainly list these numbers.

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

A element number has exactly two factors and hence it cannot be broken down additional into a product the two natural numbers various other than 1 and also itself. Usually, in stimulate to check if any kind of number "n" is prime or not, we need to follow 4 conditions. The conditions space as follows:


Condition 1: n must be a optimistic IntegerCondition 2: n should be precisely divisible by two various natural numbers, thus giving the remainder as zeroCondition 2a: n have to be divisible through 1Condition 2b: n must be divisible by n itself

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

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In order to find the prime numbers from 1 to 50, we deserve to use the Sieve of Eratosthenes algorithm as this algorithm helps united state to list all primes numbers quickly, approximately a provided number. The Sieve that Eratosthenes algorithm adheres to as provided below:

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

Step 2: start off v 2, as the number 1 can be ignored due to the fact that it is no a element number. One 2 in the table since it adheres to the 4 problems stated above. Shade all the multiples the 2 until 50. This eliminates every the even numbers (which room multiples of 2), and also are not prime as they have much more than 2 factors.These space the multiples the 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.

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Step 3: Repeat step 2 and circle the following smallest number 3 in the list which will certainly be the next prime number as per the 4 problems stated above, followed by remove the multiples the 3. These are multiples that 3 the 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 following smallest number 5 in the list which will certainly be the following prime number together per the 4 conditions stated above, complied with by remove the multiples that 5. These space the remaining multiples of 5 that are eliminated from the table: 25 and 35.

Step 5: Repeat action 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, adhered to by removed the multiples of 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 also circle the following smallest number in the list which will certainly be the next prime number together per the 4 conditions stated above. In each step, we 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 element numbers encircled in this step have actually any more multiples left, that can be eliminated from the table.

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


Let united state look in ~ the perform of primes indigenous 1 come 50 and also the amount of each under each range in the table below:

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

Hence, there room a full of 15 element numbers native 1 to 50.

See more: Which Phrase Represents The Algebraic Expression 5X - 9, 1(1&2) Real Numbers And Inequalities Flashcards

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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 come 50:

Any organic number greater than 1 that is divisible only by 1 and itself, is defined as a element numberA element number has specifically two factors and hence it can not be damaged down further into a product the two natural numbers other than 1 and itself.In order to uncover the element numbers indigenous 1 to 50, we deserve to use an algorithm referred to as Sieve of Eratosthenes together this algorithm helps united state to perform the primes numbers quickly, as much as a offered number.There room 15 element numbers native 1 come 50. They room 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.