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Divisors of a Number

Divisors of a Number
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2022-02-16 07:57
FunctionSequenceCoordinate GeometryGeometric Construction
In collections Elementary School
This example demonstrates dynamically displaying all divisors of a number as a scatter plot. Core math concepts include divisor decomposition, sequences, and coordinate geometry. Construction highlights use of commands like Random, Sequence, KeepIf, Textfield, Unique, Length, Sum along with objects such as buttons and input boxes to generate random numbers, build divisor sequences, filter unique divisors, and calculate lengths. Suitable for middle school and above to understand divisor distribution and programming logic.

GeoGebra Commands & Parameters

  1. Random(12, 100) → n
  2. Sequence(n / i, i, 2, n) → dv, {13.5, 9, 6.75, 5.4, 4.5, 3.857142857142857, 3.375, 3, 2.7, 2.4545454545454546, 2.25, 2.076923076923077, 1.9285714285714286, 1.8, 1.6875, 1.588235294117647, 1.5, 1.4210526315789473, 1.35, 1.2857142857142858, 1.2272727272727273, 1.173913043478261, 1.125, 1.08, 1.0384615384615385, 1}
  3. KeepIf(IsInteger[dv(k - 1)], k, Sequence[1, n]) → l1
  4. Textfield(factor1) → Factor
  5. Textfield(factor2) → InputBox1
  6. Textfield(factor3) → InputBox2
  7. Textfield(factor4) → InputBox3
  8. Textfield(factor5) → InputBox4
  9. Textfield(factor6) → InputBox5
  10. Textfield(factor7) → InputBox6
  11. Textfield(factor8) → InputBox7
  12. Textfield(factor9) → InputBox8
  13. Textfield(factor10) → InputBox9
  14. Textfield(factor11) → InputBox10
  15. Textfield(factor12) → InputBox11
  16. Unique(l2) → l3
  17. Length(l1) → lengthofl1
  18. Sequence(If[Element[l3, p] ∈ l1, 1, 0], p, 1, lengthofl1) → indans, {0, 0, 0}
  19. Sum(indans) → correctans
  20. Random(12, 100) → n_{1}

AI Drawing Prompt Reference

Create an interactive scatter plot of the divisors of a randomly chosen integer n. Place a horizontal ordering for candidates k from 1 to n, compute the value n/k, and keep only those k for which n/k is an integer; collect the resulting divisor values as a set and display them as points on a coordinate plane. Include text fields/input boxes for displaying divisor-related factor values and a control element (e.g., a button) that lets the user confirm or compute a related correctness check using the divisor set size. Emphasize the dynamic scatter distribution of all positive divisors.
The prompt above was compiled from the original drawing commands and is for reference only.