← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 707 · 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 33790 divisible by 7?
  2. 2.Is 7639 divisible by 4?
  3. 3.Is 189689 divisible by 29?
  4. 4.Is 22636 divisible by 17?
  5. 5.Is 90793 divisible by 13?
  6. 6.Is 51043 divisible by 9?
  7. 7.Is 34062 divisible by 11?
  8. 8.Is 58230 divisible by 10?
  9. 9.Is 103045 divisible by 15?
  10. 10.Is 42518 divisible by 7?
  11. 11.Is 9496 divisible by 9?
  12. 12.Is 64410 divisible by 15?
  13. 13.Is 23229 divisible by 4?
  14. 14.Is 61512 divisible by 12?
  15. 15.Is 2643 divisible by 3?
  16. 16.Is 37763 divisible by 11?
  17. 17.Is 11435 divisible by 4?
  18. 18.Is 5216 divisible by 4?
  19. 19.Is 21940 divisible by 7?
  20. 20.Is 92199 divisible by 19?
  21. 21.Is 85348 divisible by 19?
  22. 22.Is 140 divisible by 8?
  23. 23.Is 47532 divisible by 15?
  24. 24.Is 10629 divisible by 29?
  25. 25.Is 8222 divisible by 5?
  26. 26.Is 106894 divisible by 29?
  27. 27.Is 49462 divisible by 13?
  28. 28.Is 95322 divisible by 15?
  29. 29.Is 47194 divisible by 7?
  30. 30.Is 9667 divisible by 2?
  31. 31.Is 21330 divisible by 4?
  32. 32.Is 112138 divisible by 24?
  33. 33.Is 14217 divisible by 12?
  34. 34.Is 18359 divisible by 3?
  35. 35.Is 3365 divisible by 3?
  36. 36.Is 17521 divisible by 7?
  37. 37.Is 25367 divisible by 4?
  38. 38.Is 58746 divisible by 23?
  39. 39.Is 40714 divisible by 17?
  40. 40.Is 35126 divisible by 7?

Answer key

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

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