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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 787 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 61800 divisible by 12?
  2. 2.Is 91674 divisible by 23?
  3. 3.Is 23230 divisible by 5?
  4. 4.Is 25195 divisible by 5?
  5. 5.Is 49716 divisible by 9?
  6. 6.Is 34884 divisible by 5?
  7. 7.Is 23977 divisible by 6?
  8. 8.Is 11771 divisible by 4?
  9. 9.Is 16282 divisible by 20?
  10. 10.Is 17177 divisible by 5?
  11. 11.Is 75625 divisible by 24?
  12. 12.Is 8924 divisible by 23?
  13. 13.Is 25233 divisible by 13?
  14. 14.Is 26818 divisible by 6?
  15. 15.Is 6640 divisible by 10?
  16. 16.Is 552 divisible by 5?
  17. 17.Is 116502 divisible by 20?
  18. 18.Is 55072 divisible by 8?
  19. 19.Is 10511 divisible by 23?
  20. 20.Is 15441 divisible by 3?
  21. 21.Is 51700 divisible by 11?
  22. 22.Is 21083 divisible by 4?
  23. 23.Is 6693 divisible by 3?
  24. 24.Is 128290 divisible by 30?
  25. 25.Is 22051 divisible by 18?
  26. 26.Is 69120 divisible by 29?
  27. 27.Is 2516 divisible by 2?
  28. 28.Is 19669 divisible by 13?
  29. 29.Is 69408 divisible by 12?
  30. 30.Is 3065 divisible by 3?
  31. 31.Is 93119 divisible by 24?
  32. 32.Is 13397 divisible by 2?
  33. 33.Is 84615 divisible by 15?
  34. 34.Is 12908 divisible by 2?
  35. 35.Is 60233 divisible by 19?
  36. 36.Is 3985 divisible by 6?
  37. 37.Is 86326 divisible by 13?
  38. 38.Is 16324 divisible by 5?
  39. 39.Is 83784 divisible by 12?
  40. 40.Is 7556 divisible by 4?

Answer key

  1. yes
  2. no
  3. yes
  4. yes
  5. yes
  6. no
  7. no
  8. no
  9. no
  10. no
  11. no
  12. yes
  13. yes
  14. no
  15. yes
  16. no
  17. no
  18. yes
  19. yes
  20. yes
  21. yes
  22. no
  23. yes
  24. no
  25. no
  26. no
  27. yes
  28. yes
  29. yes
  30. no
  31. no
  32. no
  33. yes
  34. yes
  35. no
  36. no
  37. no
  38. no
  39. yes
  40. yes

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