Knaph

Prime factorisation

Writing a number as primes multiplied together, like 60 = 2 × 2 × 3 × 5 - the one recipe every whole number bigger than 1 has.

Depth 1 · Foundation

You can grow a factor tree until every branch ends in a prime, and write a number as a product of primes.

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Depths of understanding

  1. 1

    Foundation

    You can grow a factor tree until every branch ends in a prime, and write a number as a product of primes.

  2. 2

    Deeper

    You know every number has exactly one prime recipe whatever tree you draw, can read factors off it, and can say why 1 is kept out of the primes.

    Master depth 1 first

  3. 3

    Connected

    You see why multiplying two big primes is easy but finding them again from the product is very hard, and how that keeps messages safe.

    Master depth 2 first

Your path here

What's still between you and Prime factorisation, depth 1, in the order you can learn it.

  1. 1CountingDepth 1 · Foundation · Number Systems
  2. 2Natural numbersDepth 1 · Foundation · Number Systems
  3. 3ZeroDepth 1 · Foundation · Number Systems
  4. 4The number lineDepth 1 · Foundation · Number Systems
  5. 5AdditionDepth 1 · Foundation · Arithmetic
  6. 6MultiplicationDepth 1 · Foundation · Arithmetic
  7. 7MultiplesDepth 1 · Foundation · Number Theory
  8. 8FactorsDepth 1 · Foundation · Number Theory
  9. 9Prime numbersDepth 1 · Foundation · Number Theory
  10. 10Prime factorisationDepth 1 · Foundation · Number Theory