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## Prime Numbers 1 to 500

Prime numbers 1 to 500 are the numbers between 1 and 500 that have 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 FAQs on Prime Numbers 1 to 500

## How to Find Prime Numbers From 1 to 500?

In order to find the prime numbers between 1 and 500, we need to know the factors of all the numbers within this range. A prime number is always divisible by 1 and the number itself. 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. The following method shows how to check if a number is prime or not.

### 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. 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 × 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, the number will not be considered as a prime number.

## List of Prime Numbers From 1 to 500

The prime numbers from 1 to 500 are listed in the following chart. There are 95 prime numbers between 1 and 500 as shown below. All the numbers that are listed in the table have exactly 2 factors.

These prime numbers can be segregated in the range of numbers as shown in the following table.

 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

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.

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## Examples on Prime Numbers 1 to 500

1. 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.

2. 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

3. Example 3: Write the last 3 prime numbers between 1 and 500.

Solution: The last 3 prime numbers between 1 and 500 are 487, 491, 499.

## 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. The 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 its factors. Interestingly, 2 is the only even prime number.

### 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. For example, if we take 401, we can see that it has just 2 factors, 1 and 401, therefore it is a prime number.

### What is the Largest Prime Number from 1 to 500?

Prime numbers are the numbers that have only 2 factors. They are divisible only by 1 and themselves. The largest prime number from 1 to 500 is 499, as it has only two factors, 1 and 499.

### 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.

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