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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 179 · 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 60469 divisible by 17?
  2. 2.Is 6138 divisible by 11?
  3. 3.Is 18635 divisible by 5?
  4. 4.Is 98991 divisible by 17?
  5. 5.Is 16452 divisible by 12?
  6. 6.Is 2071 divisible by 13?
  7. 7.Is 58107 divisible by 29?
  8. 8.Is 60175 divisible by 29?
  9. 9.Is 16548 divisible by 15?
  10. 10.Is 17179 divisible by 5?
  11. 11.Is 105693 divisible by 19?
  12. 12.Is 81135 divisible by 18?
  13. 13.Is 2274 divisible by 3?
  14. 14.Is 6142 divisible by 20?
  15. 15.Is 86805 divisible by 15?
  16. 16.Is 195737 divisible by 30?
  17. 17.Is 18920 divisible by 5?
  18. 18.Is 1157 divisible by 2?
  19. 19.Is 14876 divisible by 4?
  20. 20.Is 7769 divisible by 24?
  21. 21.Is 95639 divisible by 17?
  22. 22.Is 7102 divisible by 20?
  23. 23.Is 59282 divisible by 20?
  24. 24.Is 21732 divisible by 12?
  25. 25.Is 16094 divisible by 13?
  26. 26.Is 107300 divisible by 29?
  27. 27.Is 31230 divisible by 10?
  28. 28.Is 10599 divisible by 4?
  29. 29.Is 49631 divisible by 12?
  30. 30.Is 311 divisible by 3?
  31. 31.Is 70368 divisible by 12?
  32. 32.Is 63563 divisible by 17?
  33. 33.Is 13365 divisible by 5?
  34. 34.Is 28483 divisible by 13?
  35. 35.Is 5165 divisible by 3?
  36. 36.Is 90675 divisible by 13?
  37. 37.Is 19795 divisible by 3?
  38. 38.Is 6383 divisible by 4?
  39. 39.Is 6055 divisible by 4?
  40. 40.Is 10996 divisible by 3?

Answer key

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

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