← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 364 · 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 28548 divisible by 6?
  2. 2.Is 18618 divisible by 9?
  3. 3.Is 26904 divisible by 6?
  4. 4.Is 43157 divisible by 7?
  5. 5.Is 72442 divisible by 29?
  6. 6.Is 79956 divisible by 18?
  7. 7.Is 93320 divisible by 20?
  8. 8.Is 6027 divisible by 2?
  9. 9.Is 300 divisible by 3?
  10. 10.Is 39224 divisible by 6?
  11. 11.Is 200430 divisible by 30?
  12. 12.Is 35529 divisible by 7?
  13. 13.Is 29574 divisible by 7?
  14. 14.Is 105082 divisible by 17?
  15. 15.Is 49706 divisible by 12?
  16. 16.Is 33345 divisible by 11?
  17. 17.Is 27452 divisible by 5?
  18. 18.Is 10160 divisible by 20?
  19. 19.Is 5503 divisible by 4?
  20. 20.Is 7600 divisible by 5?
  21. 21.Is 22680 divisible by 17?
  22. 22.Is 18267 divisible by 3?
  23. 23.Is 4701 divisible by 3?
  24. 24.Is 92123 divisible by 15?
  25. 25.Is 7411 divisible by 2?
  26. 26.Is 99270 divisible by 15?
  27. 27.Is 28140 divisible by 20?
  28. 28.Is 5550 divisible by 6?
  29. 29.Is 42822 divisible by 11?
  30. 30.Is 19629 divisible by 4?
  31. 31.Is 1281 divisible by 6?
  32. 32.Is 83185 divisible by 30?
  33. 33.Is 11731 divisible by 3?
  34. 34.Is 32730 divisible by 5?
  35. 35.Is 11080 divisible by 5?
  36. 36.Is 23789 divisible by 6?
  37. 37.Is 20070 divisible by 5?
  38. 38.Is 43641 divisible by 9?
  39. 39.Is 5203 divisible by 11?
  40. 40.Is 5797 divisible by 11?

Answer key

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

Free vedic maths lessons, practice and worksheets at talentjr.in/vedic-maths