Factors and multiples

  • Can it be?
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    Can It Be?

    Age
    16 to 18
    Challenge level
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    When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?

  • Factorial Fun
    problem

    Factorial Fun

    Age
    16 to 18
    Challenge level
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    How many divisors does factorial n (n!) have?

  • Rarity
    problem

    Rarity

    Age
    16 to 18
    Challenge level
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    Show that it is rare for a ratio of ratios to be rational.

  • Playing with factors and multiples
    article

    Playing With Factors and Multiples

    This article for primary teachers outlines why developing an intuitive 'feel' for numbers matters, and how our activities focusing on factors and multiples can help.

  • Mathdoku demonstration
    page

    Mathdoku Demonstration

    This video of Charlie and Liz solving a 6 by 6 Mathdoku may give you ideas for strategies to try.

  • Divisibility Tests
    article

    Divisibility Tests

    This article explains various divisibility rules and why they work. An article to read with pencil and paper handy.

  • Telescoping Functions
    article

    Telescoping Functions

    Take a complicated fraction with the product of five quartics top and bottom and reduce this to a whole number. This is a numerical example involving some clever algebra.