Prime numbers chart

The 25 primes below 100 shaded on a hundreds chart, with a full list of primes to 1000 and a sieve sheet to work by hand.

Prime numbers chart — free printable PDF preview

All 3 pages

Page 1 is the shaded hundreds chart, page 2 lists every prime below 1000 by hundreds, and page 3 is an unshaded grid for running the sieve by hand.

  • Prime numbers chart — Primes to 100

    Primes to 100

  • Prime numbers chart — Primes to 1000

    Primes to 1000

  • Prime numbers chart — Sieve sheet

    Sieve sheet

How to print it

  1. Open the print view. Press Print for a clean print-ready view of page 1, or download it as a PDF or PNG. The other pages are in the gallery below, with a button to download them all.
  2. Fit to page. In the print dialog choose “Fit to page” — the chart is laid out for US Letter and scales cleanly onto A4.
  3. Copy freely. Print or photocopy as many as you need for home, classroom or tutoring use. It is free, with no sign-up.

About the prime numbers chart

A prime number has exactly two factors, 1 and itself: 7 is prime, but 9 is not because 3 also divides it. Page 1 shades the 25 primes below 100, and two patterns stand out. The number 2 is the only even prime, and every prime after 5 ends in 1, 3, 7 or 9, so below the first row the shading falls in just four columns. Children find primes by hand with the Sieve of Eratosthenes: cross out 1, circle 2 and cross out the other multiples of 2, then do the same for 3, 5 and 7. Whatever is left is prime. Page 3 sets up the sieve on a six-wide grid from 1 to 120, and page 2 lists all 168 primes below 1000.

Grade level: this chart is used in our 4th grade math worksheets collection.

Frequently asked questions

Is 1 a prime number?

No. A prime has exactly two factors and 1 has only one, so it is neither prime nor composite. That is why 1 is the first number crossed out in the sieve.

How many prime numbers are there below 100?

There are 25: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97. Below 1000 there are 168.

Why does the sieve stop at 7?

Any composite number up to 120 has a prime factor of 7 or less, because the next prime is 11 and 11 × 11 is already 121. Once the multiples of 2, 3, 5 and 7 are crossed out, every number left except 1 is prime.

Why is the sieve sheet six columns wide?

The multiples of 2 and 3 fill four whole columns, so after the sieve every prime except 2 and 3 sits in the first or fifth column: one more or one less than a multiple of 6.

What to print next