← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 491 · 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 21324 divisible by 13?
  2. 2.Is 48260 divisible by 15?
  3. 3.Is 6420 divisible by 2?
  4. 4.Is 16103 divisible by 11?
  5. 5.Is 73536 divisible by 17?
  6. 6.Is 15597 divisible by 4?
  7. 7.Is 12255 divisible by 19?
  8. 8.Is 24060 divisible by 30?
  9. 9.Is 42162 divisible by 13?
  10. 10.Is 85231 divisible by 29?
  11. 11.Is 30525 divisible by 20?
  12. 12.Is 105136 divisible by 17?
  13. 13.Is 69108 divisible by 12?
  14. 14.Is 51780 divisible by 15?
  15. 15.Is 77832 divisible by 29?
  16. 16.Is 45752 divisible by 7?
  17. 17.Is 46602 divisible by 9?
  18. 18.Is 37200 divisible by 24?
  19. 19.Is 12672 divisible by 9?
  20. 20.Is 77001 divisible by 11?
  21. 21.Is 123510 divisible by 30?
  22. 22.Is 35088 divisible by 8?
  23. 23.Is 45980 divisible by 10?
  24. 24.Is 25206 divisible by 6?
  25. 25.Is 30995 divisible by 8?
  26. 26.Is 18746 divisible by 7?
  27. 27.Is 14700 divisible by 5?
  28. 28.Is 66121 divisible by 19?
  29. 29.Is 75168 divisible by 24?
  30. 30.Is 28929 divisible by 24?
  31. 31.Is 159130 divisible by 24?
  32. 32.Is 45720 divisible by 30?
  33. 33.Is 126472 divisible by 19?
  34. 34.Is 9898 divisible by 23?
  35. 35.Is 51866 divisible by 13?
  36. 36.Is 69216 divisible by 20?
  37. 37.Is 18066 divisible by 6?
  38. 38.Is 61704 divisible by 9?
  39. 39.Is 11766 divisible by 10?
  40. 40.Is 62622 divisible by 9?

Answer key

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

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