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Prime Numbers

A prime number can only be divided exactly by 1 and itself. Sieve the 100 grid to find them all, then test some yourself.

Sieve out the primes

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Tap 2, the first prime. All its multiples will drop out.

What's a prime?

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A prime has exactly two factors: 1 and itself.

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Share its dots into 2, 3, 4… rows: for a prime there is always some left over.

1

1 isn't prime: it has only one factor.

2

2 is the only even prime.

Questions and answers

What is a prime number?

A number with exactly two factors: 1 and itself. 7 is prime because 7 dots only make one rectangle, a single row. 8 is not, because 8 dots also make 2 rows of 4.

Is 1 a prime number?

No. A prime needs exactly two different factors, and 1 only has one. So the primes start at 2, which is also the only even prime.

What is the sieve of Eratosthenes?

A way to find primes on a 100 grid. Circle 2 and cross out its multiples, then circle the next number left (3) and cross out its multiples, then 5, then 7. Every number still left is prime: there are 25 primes up to 100.

What age do children learn prime numbers?

Children usually meet prime numbers at about 9 to 10, once they know factors, and learn the primes up to 100 and why 1 is not prime at about 10 to 11.