Primes

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Prime numbers can be used for an exploring numbers type starter.

Factors nzmaths

How Many Factors – nzmaths

Find numbers with exactly two factors. Three factors? (A square of a prime number). Four? Five? Or generalise (perhaps rather too long for a starter!)
This investigation, How Many Factors on nzmaths requires students to  find ways to group numbers, which numbers have only two factors and which have only three factors?

All prime numbers >3 are either one more or one less than a multiple of 6.
Proof : Primes 6k+1 6k-1 proof

For further ideas see these possibilities from Nrich. Two Primes Make One Square or Penta Primes for example could make suitable starters.

Try some of these ideas from Murderous Maths.

 

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