← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 958 · 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 54081 divisible by 9?
  2. 2.Is 7529 divisible by 5?
  3. 3.Is 26615 divisible by 15?
  4. 4.Is 80000 divisible by 17?
  5. 5.Is 76868 divisible by 11?
  6. 6.Is 734 divisible by 2?
  7. 7.Is 4747 divisible by 3?
  8. 8.Is 4368 divisible by 8?
  9. 9.Is 54987 divisible by 12?
  10. 10.Is 100418 divisible by 23?
  11. 11.Is 13560 divisible by 15?
  12. 12.Is 23240 divisible by 9?
  13. 13.Is 127558 divisible by 23?
  14. 14.Is 47533 divisible by 17?
  15. 15.Is 121940 divisible by 20?
  16. 16.Is 85752 divisible by 30?
  17. 17.Is 189180 divisible by 30?
  18. 18.Is 9456 divisible by 6?
  19. 19.Is 33489 divisible by 6?
  20. 20.Is 47919 divisible by 10?
  21. 21.Is 30117 divisible by 7?
  22. 22.Is 10529 divisible by 9?
  23. 23.Is 11416 divisible by 6?
  24. 24.Is 23460 divisible by 17?
  25. 25.Is 8946 divisible by 4?
  26. 26.Is 25095 divisible by 8?
  27. 27.Is 48060 divisible by 10?
  28. 28.Is 40391 divisible by 7?
  29. 29.Is 56772 divisible by 9?
  30. 30.Is 86671 divisible by 17?
  31. 31.Is 110328 divisible by 29?
  32. 32.Is 6528 divisible by 15?
  33. 33.Is 15245 divisible by 9?
  34. 34.Is 123131 divisible by 24?
  35. 35.Is 21318 divisible by 19?
  36. 36.Is 149867 divisible by 23?
  37. 37.Is 36260 divisible by 15?
  38. 38.Is 72877 divisible by 29?
  39. 39.Is 2058 divisible by 5?
  40. 40.Is 7895 divisible by 10?

Answer key

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

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