Maths How To with Anita

# How to find Prime Numbers from 1 to 500 (includes chart, free printable worksheet and video)

Do you know what the prime numbers are between 1 and 500? If not, don’t worry! I’m here to help.

In this article, I will list all of the prime numbers from 1 and 500, along with steps and a video on how to find them.

Prime numbers are special because they are only divisible by themselves and 1. This makes them an important part of mathematics and cryptography.

With over 14 years of experience as a mathematics teacher, I know a thing or two about finding them. Here are some tips and tricks that will make the process easier for you.

So without further ado, let’s get started!

## How to find the prime numbers 1 to 500

The square root of 500 is 22.36 (to 2 decimal places).

The prime numbers less than 22.36 are 2, 3, 5, 7, 11, 13, 17 & 19.

So to determine if a number less than 500 is a prime number you want to follow these steps.

Step 1: Divide the number you want to test by 2, 3, 5, 7, 11, 13, 17 & 19.

Step 2: If it IS divisible by ANY of these prime numbers it is NOT a prime number. If it is NOT divisible by ALL of these prime numbers then it IS a prime number.

## Shortcuts you can use to find prime numbers.

Step 1: On a 1-500 number chart, cross out all the numbers ending in 2, 4, 6, 8 or 0 (except 2). These numbers are all multiples of 2 so are composite, not prime numbers.

Step 2: Cross out all the numbers ending in 5 (except for 5). These numbers are all multiples of 5 that have not yet been crossed out, so they are composite numbers, not prime numbers.

Step 3: Starting at 9, cross out all the numbers on the diagonal moving left as you go down the diagonal, as these numbers are multiples of 9, so they are not prime numbers. Do the same starting at 99, 189, 279, 369 &459.

Step 4: Starting at 11, cross out all the numbers on the diagonal moving right as you go down the diagonal, as these numbers are multiples of 11, so they are not prime numbers, except 11. Do the same starting at 121, 231, 341 & 451.

Step 5: Test the remaining numbers by adding the digits to see if the sum is divisible by 3. Cross out the numbers whose sum is divisible by 3.

Step 6: Test the remaining numbers using a calculator to see if they are divisible by 7, 13, 17 & 19. If they are not divisible by all of these factors then you have found a prime number.

## List of prime numbers from 1 to 500

There are 95 prime numbers between 1 and 500. They are 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.

## Prime numbers from 1 to 500 chart

You can also use a prime numbers chart to help you find prime numbers. This prime number chart is a 1-500 prime number grid that shows all prime numbers up to 500.

## Prime numbers 1 to 500 worksheet

Download this free Finding Prime Numbers PDF worksheet on to see if you can find all the prime numbers from 1 to 500.

I have included the steps I have outlined above on the worksheet for you.

## Video Lesson on Finding Prime Numbers

Here’s a video tutorial on how to find prime numbers between 1 and 500 using the steps outlined in this article.

## Examples on Prime numbers 1 to 500

Example 1: What is the largest prime number from 1 to 500?

Solution: 499

Example 2: What is the sum of the prime numbers less than 500?

Solution: We need to add together the 95 prime numbers between 1 and 500. They are 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. The sum is 21465.

Example 3: Find the average of all the prime numbers less than 500.

Solution: The sum of the prime numbers less than 500 is 21465 and there are 95 prime numbers. So the average is 21465 divided by 95 which equals 225.9 (to 1 decimal place).

## FAQs on Prime Numbers 1 to 500

### How many prime numbers are there from 1 to 500?

There are 95 prime numbers between 1 and 500.

487 + 13 = 500
463 + 37= 500

## Conclusion

These shortcuts and tips will help you find prime numbers like a pro! With some practice, you’ll be able to quickly sieve out composite numbers and identify prime numbers in no time.

Save or print out the chart of all the prime numbers from 1 to 500 to get you started, as well practice finding them on the worksheet. Refer to the video tutorial on finding prime numbers if you are a visual learner.

And if you have any questions about prime numbers 1 to 500, please reach out. Be sure to check out my other math articles for more helpful tips and tricks from an experienced math teacher.