Prime Numbers 1 to 50
Any natural number that is greater than 1 and that is divisible only by 1 and itself can be defined as a prime number. There are 15 prime numbers from 1 to 50. In this article, let us see how to find the prime numbers from 1 to 50 and we will list these numbers.
1.  How to Find Prime Numbers From 1 to 50? 
2.  List of Prime Numbers From 1 to 50 
3.  Solved Examples 
4.  FAQs on Prime Numbers 1 to 50 
How to Find Prime Numbers From 1 to 50?
A prime number has exactly two factors and hence it cannot be broken down further into a product of two natural numbers other than 1 and itself. Usually, in order to check if any number 'n' is prime or not, we need to follow 4 conditions. The conditions are as follows:
 Condition 1: n must be a positive Integer
 Condition 2: n must be exactly divisible by two different natural numbers, thus giving the remainder as zero
 Condition 2a: n should be divisible by 1
 Condition 2b: n should be divisible by n itself
Always make a checklist as shown below, to remember the conditions easily:
In order to find the prime numbers from 1 to 50, we can use the Sieve of Eratosthenes algorithm as this algorithm helps us to list all primes numbers quickly, up to a given number. The Sieve of Eratosthenes algorithm follows as given below:
Step 1: Make a table of 5 rows and 10 columns starting with 1 continuing until 50, as displayed in the below image.
Step 2: Start off with 2, as the number 1 can be ignored since it is not a prime number. Circle 2 in the table since it follows the 4 conditions stated above. Shade all the multiples of 2 until 50. This eliminates all the even numbers (which are multiples of 2), and are not prime as they have more than 2 factors.These are the multiples of 2 that are eliminated 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 be the next prime number as per the 4 conditions stated above, followed by eliminating the multiples of 3. These are multiples of 3 that are eliminated from the table: 9,15,21,27,33,39, and 45.
Step 4: Repeat Step 2 and circle the next smallest number 5 in the list which will be the next prime number as per the 4 conditions stated above, followed by eliminating the multiples of 5. These are the remaining multiples of 5 that are eliminated from the table: 25 and 35.
Step 5: Repeat Step 2 and circle the next smallest number 7 in the list which will be the next prime number as per the 4 conditions stated above, followed by eliminating the multiples of 7. In this step, 49 is the only remaining multiple of 7 that is eliminated from the table.
Step 6: Repeat Step 2 and circle the next smallest number in the list which will be the next prime number as per the 4 conditions stated above. In each step, we circle the next smallest number as shown in belowimage 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47. None of the prime numbers encircled in this step have any more multiples left, that could be eliminated from the table.
This is how all the prime numbers from 1 to 50 are listed as per the Sieve of Eratosthenes algorithm.
List of Prime Numbers From 1 to 50
Let us look at the list of primes from 1 to 50 and the quantity of each under each range in the table below:
Range of prime numbers  Quantity  Prime numbers 
Prime numbers 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 numbers from 31 to 40  2  31, 37 
Prime numbers from 41 to 50  3  41, 43, and 47 
Hence, there are a total of 15 prime numbers from 1 to 50.
Related Articles on Prime Numbers 1 to 50
Check out the following pages related to prime numbers from 1 to 50
Important Notes
Here is a list of a few points that should be remembered while studying prime numbers from 1 to 50:
 Any natural number greater than 1 that is divisible only by 1 and itself, is defined as a prime number
 A prime number has exactly two factors and hence it cannot be broken down further into a product of two natural numbers other than 1 and itself.
 In order to find the prime numbers from 1 to 50, we can use an algorithm called Sieve of Eratosthenes as this algorithm helps us to list the primes numbers quickly, up to a given number.
 There are 15 prime numbers from 1 to 50. They are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.
Solved Examples

Example 1. Is 26 a prime number or not? Justify your answer.
Solution:
The list of prime numbers from 1 to 50 does not cover the number 26. 26 is an even number as it can be divided by 2. The factors of 26 are 1,2,13, and 26 as 26 ÷ 2 = 13. 26 is not a prime number because it has more than 2 factors.

Example 2. Is 29 a prime number or not? Justify your answer.
Solution:
Factors of 29 are 1 and 29. 29 can be expressed as 1 × 29 only. Therefore, there are no other possible factors apart from 1 and 29, so it's a prime number. So 29 can be added to the list of prime numbers from 1 to 50.
FAQs on Prime Numbers 1 to 50
How Many Prime Numbers Are There Between 1 and 50?
There are a total of 15 prime numbers from 1 to 50. A prime number has exactly two factors and hence it cannot be broken down further into a product of two natural numbers other than 1 and itself.
What Are the Prime Numbers From 1 to 50?
The list of prime numbers from 1 to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.
What Is the Probability to Choose the One prime Number From 1 to 50?
In order to find the probability of choosing one prime number from 1 to 50, we need to first list the prime numbers from 1 to 50 and then find their total. The list of prime numbers that are less than 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47. We can see that there are 15 prime numbers less than or equal to 50. Thus the probability of randomly choosing one prime number from 1 to 50 is 15/50 = 3/10 = 0.3.
What Are the Even Prime Numbers From 1 to 50?
The prime numbers from 1 to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47. The only even number that is a prime number between 1 to 50 is 2. Here, 2 is a prime number since it has only two factors 1 and 2.
What Is the Sum of Odd Prime Numbers Between 1 to 50?
In order to find the sum of the odd prime numbers from 1 to 50, we need to first list the odd prime numbers from 1 to 50 and then add all of them to find their sum. The list of odd numbers that are prime number from 1 to 50 are 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47. On adding all the odd prime numbers, we get, 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 = 326. So, the sum of all the odd prime numbers from 1 to 50 is 326.