Factors, Multiples & Primes

  • Counting Factors
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    Counting Factors

    Age
    11 to 14
    Challenge level
    2 out of 3

    Is there an efficient way to work out how many factors a large number has?

  • Stars
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    Stars

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you work out what step size to take to ensure you visit all the dots on the circle?

  • Factors and Multiples Puzzle
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    Factors and Multiples Puzzle

    Age
    11 to 14
    Challenge level
    2 out of 3

    Using your knowledge of the properties of numbers, can you fill all the squares on the board?

  • Route to infinity
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    Route to Infinity

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you describe this route to infinity? Where will the arrows take you next?

  • Power mad!
    problem
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    Power Mad!

    Age
    11 to 14
    Challenge level
    2 out of 3

    Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

  • A blue patchwork quilt draped over a white sofa.
    problem
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    Alison's Quilt

    Age
    11 to 14
    Challenge level
    2 out of 3

    Nine squares are fitted together to form a rectangle. Can you find its dimensions?

  • Four playing cards on top of each other. Each card shows a different ace.
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    Snappy Statements

    Age
    11 to 14
    Challenge level
    2 out of 3

    Use properties of numbers to work out whether you can satisfy all these statements at the same time.

  • Differences
    problem
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    Differences

    Age
    11 to 14
    Challenge level
    3 out of 3

    Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?

  • Multiple Surprises
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    Multiple Surprises

    Age
    11 to 16
    Challenge level
    1 out of 3

    Sequences of multiples keep cropping up...

  • Funny Factorisation
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    Funny Factorisation

    Age
    11 to 16
    Challenge level
    2 out of 3

    Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?