Sieve of Eratosthenes I’ve never found a better way to show prime and composite numbers than using the Sieve of Eratosthenes. If you aren’t familiar... First list the whole numbers from 2-100. ( I made a poster board size listing the numbers and laminated it so I could use it over and over) Circle the first prime number, 2. Cross out all the numbers that have 2 as a factor. Circle the next prime number, 3. Cross out all the numbers that have 3 as a factor. Repeat the process for every prime number. The circled numbers are prime.