Prime Numbers 1 to 500
Prime numbers 1 to 500 are the numbers with only two factors, i.e., 1 and the number itself. The term 'prime number' represents that there can be only one multiplication statement representing its factors. For example, the number 7 has only two factors (1 and 7). Therefore, 7 can be expressed as a product of 7 and 1 or 7 × 1. All the prime numbers are greater than 1. There is a finite list of prime numbers 1 to 500. This article discusses the list of prime numbers from 1 to 500 and the methods of finding them.
1.  How to Find Prime Numbers From 1 to 500? 
2.  List of Prime Numbers From 1 to 500 
3.  Solved Examples on Prime Numbers 1 to 500 
4.  FAQs on Prime Numbers 1 to 500 
How to Find Prime Numbers From 1 to 500?
A prime number always leaves a remainder of 0 upon division by 1 and the same number. The numbers that have more than two factors are called composite numbers. Prime numbers from 1 to 500, have exactly 2 factors. There are 95 prime numbers from 1 to 500. There are two simple ways to check if a number is prime or not. Let us discuss both of them.
Factorization Method
In the factorization method, we check to see if a number has more than 2 factors, other than 1, and the same number. If there are no other factors other than 1 and the number itself, then it can be termed as a prime number, otherwise, it is a composite number (A number with more than 2 factors). For example, the number 15 has 1,3,5 and 15 as its factors. In other words, 15 can be expressed by the following multiplication facts  1 × 15, 3 × 5. 5 × 3, and 15 x 1. From this, it is evident that 15 is not a prime number, whereas the number 19 has only two factors, which are 1 and 19. Therefore, it can be expressed as 1 × 19 or 19 × 1. Hence 19 is a prime number. The steps to use the factorization method to find the prime numbers from 1 to 500 are listed below.
Step 1: List down the factors of all the numbers from 2 to 500 (Exclude 1 as it is not a prime or a composite number)
Step 2: If there are only two factors, add them to the list of prime numbers from 1 to 500.
Step 3: If step 2 is not successful, classify the number as not prime.
Square Root Method
The factorization method is easy to use for finding if a smaller number is prime or not. The square root method helps us to find if a larger number is prime or not. To find if a given number 'x' is prime or not, check to see if there is any prime number 'k' between 2 to √x, such that, any of the prime numbers in this range completely divides it. (The remainder should be 0).
For example, let x = 144. To check if it is prime or not, please follow the steps given below.
√x = 12
The prime numbers between 2 and 12 are 3,5,7,11.
144 is completely divisible by 3 since the remainder is 0. So, there is a prime number that divides 144 completely. Hence, 144 is not a prime number.
Let us take another number 211.
√x = 14.52
The prime numbers between 2 and 14.52 are 3,5,7,11 and 13.
None of the prime numbers stated above divide 211 completely. So, 211 is a prime number.
List of Prime Numbers From 1 to 500
Prime numbers from 1 to 500 are 95 in number. The list of all prime numbers for every 100 numbers till 500 is listed in the image below.
Range of Numbers  List of Prime Numbers  Total 
1 to 100  2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97  25 
101  200  101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199  21 
201 300  211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293  16 
301  400  307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397  16 
401  500  401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499  17 
All the numbers that are listed in the table have exactly 2 factors.
Important Notes on Prime Numbers 1 to 500
 From prime numbers 1 to 500, 2 is the only even prime number. Any other number that has 0, 2, 4, 6, or 8 as the last digit is not a prime number, since they are completely divisible by 2.
 If a number has more than two factors (1 and itself), then it is not a prime number.
 Multiples of a number except 1 are not prime numbers. This is because the multiples can have more than two factors.
 To check if a large number is prime or not, we can use the divisibility rules of the first five prime numbers (2,3,5,7,11) and check to see if they are divisible or not. If they are divisible by any of these prime numbers, then we can say that there is another factor apart from 0 and the number. So it is not prime.
Topics Related to Prime Numbers 1 to 500
Check out some interesting articles related to prime numbers from 1 to 500.
Solved Examples on Prime Numbers 1 to 500

Example 1: Find the difference between the last two prime numbers from 1 to 500.
Solution:
The last two prime numbers from 1 to 500 are 491 and 499. The difference between the last two prime numbers from 1 to 500 is 499  491, which is equal to 8.

Example 2: Find the average of the last five prime numbers from 1 to 500.
Solution:
The last five prime numbers from 1 to 500 are 467, 479, 487, 491, 499. Average is calculated by summing up all the numbers and dividing them by the total number of items. Therefore, the average of the last five prime numbers from 1 to 500 is,Average = (467 + 479 + 487 + 491 + 499) / 5
= 2423/5
= 484.6
FAQs on Prime Numbers 1 to 500
What are the Prime Numbers From 1 to 500?
There are 95 prime numbers from 1 to 500. List of prime numbers 1 to 500 is given below:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499.
How Many Even Prime Numbers are There From 1 to 500?
There is only one even prime number between 1 to 500. This is because 2 has only 1 and itself as factors. Also, a number that has its last digit as 0, 2, 4, 6, and 8 cannot be a prime number because it will be divisible by 2 and it has more than 2 factors.
How to Find Prime Numbers From 1 to 500?
Prime numbers from 1 to 500 can be found by finding factors for a given number and check if it has factors other than 1 and itself. If yes, then it is not a prime number. Another way is to find the square root of the number and find the number immediately next to it. Now, find all the prime numbers less than that. If the given number is divisible by any of these prime numbers then it is not a prime number, otherwise, it is a prime number.
What is the Largest Prime Number From 1 to 500?
Prime numbers are the numbers having only 2 factors. They are divisible only by 1 and themselves. The largest prime number from 1 to 500 is 499, as it has 1 and 499 as its only factors.
Are There Any Consecutive Prime Numbers From 1 to 500?
Yes, there are only two consecutive prime numbers from 1 to 500. They are 2 and 3. Both the numbers have 1 and themselves as their factors. In other words, they can be expressed as a product of 1 and themselves.