← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 738 · 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 151700 divisible by 29?
  2. 2.Is 3651 divisible by 5?
  3. 3.Is 4717 divisible by 4?
  4. 4.Is 17343 divisible by 13?
  5. 5.Is 17757 divisible by 3?
  6. 6.Is 989 divisible by 2?
  7. 7.Is 163966 divisible by 29?
  8. 8.Is 7712 divisible by 4?
  9. 9.Is 53378 divisible by 13?
  10. 10.Is 15747 divisible by 3?
  11. 11.Is 138560 divisible by 20?
  12. 12.Is 52866 divisible by 18?
  13. 13.Is 45000 divisible by 30?
  14. 14.Is 67298 divisible by 19?
  15. 15.Is 60861 divisible by 9?
  16. 16.Is 38157 divisible by 17?
  17. 17.Is 70840 divisible by 23?
  18. 18.Is 8706 divisible by 3?
  19. 19.Is 20060 divisible by 30?
  20. 20.Is 24055 divisible by 17?
  21. 21.Is 48687 divisible by 11?
  22. 22.Is 739 divisible by 2?
  23. 23.Is 53532 divisible by 12?
  24. 24.Is 42811 divisible by 30?
  25. 25.Is 35820 divisible by 30?
  26. 26.Is 13582 divisible by 2?
  27. 27.Is 39195 divisible by 13?
  28. 28.Is 30979 divisible by 9?
  29. 29.Is 5733 divisible by 3?
  30. 30.Is 46911 divisible by 30?
  31. 31.Is 130824 divisible by 24?
  32. 32.Is 32487 divisible by 12?
  33. 33.Is 12972 divisible by 23?
  34. 34.Is 29352 divisible by 8?
  35. 35.Is 104080 divisible by 29?
  36. 36.Is 3745 divisible by 8?
  37. 37.Is 4249 divisible by 3?
  38. 38.Is 23018 divisible by 9?
  39. 39.Is 15455 divisible by 8?
  40. 40.Is 41220 divisible by 18?

Answer key

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

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