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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 326 · 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 17571 divisible by 17?
  2. 2.Is 71480 divisible by 12?
  3. 3.Is 1872 divisible by 4?
  4. 4.Is 81276 divisible by 13?
  5. 5.Is 71241 divisible by 19?
  6. 6.Is 624 divisible by 5?
  7. 7.Is 55552 divisible by 8?
  8. 8.Is 33596 divisible by 5?
  9. 9.Is 11594 divisible by 6?
  10. 10.Is 32985 divisible by 5?
  11. 11.Is 36048 divisible by 6?
  12. 12.Is 3666 divisible by 3?
  13. 13.Is 3674 divisible by 11?
  14. 14.Is 9852 divisible by 12?
  15. 15.Is 25154 divisible by 5?
  16. 16.Is 2754 divisible by 7?
  17. 17.Is 14062 divisible by 8?
  18. 18.Is 93722 divisible by 18?
  19. 19.Is 23360 divisible by 29?
  20. 20.Is 26526 divisible by 5?
  21. 21.Is 14660 divisible by 20?
  22. 22.Is 14220 divisible by 20?
  23. 23.Is 5185 divisible by 2?
  24. 24.Is 157557 divisible by 29?
  25. 25.Is 28489 divisible by 7?
  26. 26.Is 33890 divisible by 6?
  27. 27.Is 128616 divisible by 23?
  28. 28.Is 167591 divisible by 29?
  29. 29.Is 36315 divisible by 15?
  30. 30.Is 9477 divisible by 13?
  31. 31.Is 70680 divisible by 15?
  32. 32.Is 3720 divisible by 24?
  33. 33.Is 4605 divisible by 3?
  34. 34.Is 88481 divisible by 23?
  35. 35.Is 31163 divisible by 15?
  36. 36.Is 6279 divisible by 3?
  37. 37.Is 2387 divisible by 2?
  38. 38.Is 20791 divisible by 13?
  39. 39.Is 16854 divisible by 6?
  40. 40.Is 5114 divisible by 7?

Answer key

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

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