← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 175 · 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 36725 divisible by 13?
  2. 2.Is 3483 divisible by 30?
  3. 3.Is 15660 divisible by 9?
  4. 4.Is 68526 divisible by 10?
  5. 5.Is 94724 divisible by 15?
  6. 6.Is 62378 divisible by 9?
  7. 7.Is 32316 divisible by 17?
  8. 8.Is 13191 divisible by 3?
  9. 9.Is 100977 divisible by 20?
  10. 10.Is 8265 divisible by 4?
  11. 11.Is 10422 divisible by 3?
  12. 12.Is 25385 divisible by 15?
  13. 13.Is 70740 divisible by 23?
  14. 14.Is 19836 divisible by 15?
  15. 15.Is 4277 divisible by 12?
  16. 16.Is 156066 divisible by 24?
  17. 17.Is 75084 divisible by 18?
  18. 18.Is 34929 divisible by 23?
  19. 19.Is 64104 divisible by 12?
  20. 20.Is 56695 divisible by 13?
  21. 21.Is 5916 divisible by 17?
  22. 22.Is 43152 divisible by 24?
  23. 23.Is 20442 divisible by 20?
  24. 24.Is 57240 divisible by 20?
  25. 25.Is 60591 divisible by 13?
  26. 26.Is 149118 divisible by 29?
  27. 27.Is 31480 divisible by 5?
  28. 28.Is 22040 divisible by 8?
  29. 29.Is 14145 divisible by 23?
  30. 30.Is 23256 divisible by 9?
  31. 31.Is 50693 divisible by 23?
  32. 32.Is 17137 divisible by 5?
  33. 33.Is 146424 divisible by 24?
  34. 34.Is 25546 divisible by 4?
  35. 35.Is 10406 divisible by 2?
  36. 36.Is 47454 divisible by 11?
  37. 37.Is 21144 divisible by 24?
  38. 38.Is 12467 divisible by 2?
  39. 39.Is 55027 divisible by 13?
  40. 40.Is 40546 divisible by 19?

Answer key

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

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