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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 455 · 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 16392 divisible by 20?
  2. 2.Is 13224 divisible by 8?
  3. 3.Is 5804 divisible by 3?
  4. 4.Is 10821 divisible by 4?
  5. 5.Is 38095 divisible by 11?
  6. 6.Is 27288 divisible by 4?
  7. 7.Is 38358 divisible by 18?
  8. 8.Is 10647 divisible by 3?
  9. 9.Is 9711 divisible by 2?
  10. 10.Is 40040 divisible by 12?
  11. 11.Is 7694 divisible by 3?
  12. 12.Is 68120 divisible by 13?
  13. 13.Is 35261 divisible by 15?
  14. 14.Is 73752 divisible by 24?
  15. 15.Is 10609 divisible by 4?
  16. 16.Is 21216 divisible by 13?
  17. 17.Is 19026 divisible by 9?
  18. 18.Is 120460 divisible by 19?
  19. 19.Is 7186 divisible by 5?
  20. 20.Is 25920 divisible by 18?
  21. 21.Is 41213 divisible by 6?
  22. 22.Is 574 divisible by 10?
  23. 23.Is 21248 divisible by 19?
  24. 24.Is 32072 divisible by 15?
  25. 25.Is 8698 divisible by 5?
  26. 26.Is 3900 divisible by 30?
  27. 27.Is 24036 divisible by 5?
  28. 28.Is 51116 divisible by 11?
  29. 29.Is 90022 divisible by 23?
  30. 30.Is 33946 divisible by 11?
  31. 31.Is 116729 divisible by 23?
  32. 32.Is 581 divisible by 4?
  33. 33.Is 27172 divisible by 11?
  34. 34.Is 2636 divisible by 2?
  35. 35.Is 25501 divisible by 4?
  36. 36.Is 56376 divisible by 30?
  37. 37.Is 17115 divisible by 20?
  38. 38.Is 81720 divisible by 12?
  39. 39.Is 49 divisible by 3?
  40. 40.Is 6721 divisible by 6?

Answer key

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

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