← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 102 · 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 130099 divisible by 30?
  2. 2.Is 68204 divisible by 11?
  3. 3.Is 8090 divisible by 10?
  4. 4.Is 14566 divisible by 6?
  5. 5.Is 10807 divisible by 5?
  6. 6.Is 14046 divisible by 6?
  7. 7.Is 24721 divisible by 20?
  8. 8.Is 41563 divisible by 7?
  9. 9.Is 130359 divisible by 24?
  10. 10.Is 7852 divisible by 15?
  11. 11.Is 40356 divisible by 9?
  12. 12.Is 26328 divisible by 8?
  13. 13.Is 50520 divisible by 12?
  14. 14.Is 178800 divisible by 30?
  15. 15.Is 69264 divisible by 24?
  16. 16.Is 132869 divisible by 20?
  17. 17.Is 18364 divisible by 7?
  18. 18.Is 35612 divisible by 17?
  19. 19.Is 44122 divisible by 12?
  20. 20.Is 20790 divisible by 9?
  21. 21.Is 32088 divisible by 6?
  22. 22.Is 22625 divisible by 4?
  23. 23.Is 26043 divisible by 6?
  24. 24.Is 22666 divisible by 7?
  25. 25.Is 11034 divisible by 2?
  26. 26.Is 24762 divisible by 4?
  27. 27.Is 38916 divisible by 13?
  28. 28.Is 94992 divisible by 24?
  29. 29.Is 32764 divisible by 15?
  30. 30.Is 95493 divisible by 17?
  31. 31.Is 3545 divisible by 2?
  32. 32.Is 6740 divisible by 4?
  33. 33.Is 30780 divisible by 5?
  34. 34.Is 25669 divisible by 12?
  35. 35.Is 108118 divisible by 17?
  36. 36.Is 19827 divisible by 3?
  37. 37.Is 64017 divisible by 15?
  38. 38.Is 2114 divisible by 7?
  39. 39.Is 16395 divisible by 9?
  40. 40.Is 10446 divisible by 3?

Answer key

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

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