Prime Number Sieve

Class 6 Maths: playing with numbers (primes and the Sieve of Eratosthenes)

Cross out the multiples of 2, 3, 5 and 7 on a 1 to 50 grid. The numbers that survive are the prime numbers.

Words to know

Factor
A number that divides another number exactly. 3 is a factor of 12.
Multiple
A number you get by multiplying a number by 1, 2, 3 and so on. 12 is a multiple of 3.
Prime number
A number with exactly two factors: 1 and itself, like 2, 3, 5, 7.
Composite number
A number with more than two factors, like 4, 6, 9.
Sieve of Eratosthenes
A way to find primes by crossing out the multiples of each prime in turn.

Quick check

Answer 3 questions to check what you learned.

1. Which of these is a prime number?
2. The only even prime number is…
3. 1 is…

Try at home

Write 1 to 100 on squared paper and use the sieve. How many primes are there up to 100? (Answer: 25.)

Next, try a full lab