← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 310 · 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 79155 divisible by 13?
  2. 2.Is 51239 divisible by 17?
  3. 3.Is 6210 divisible by 3?
  4. 4.Is 26069 divisible by 4?
  5. 5.Is 73040 divisible by 20?
  6. 6.Is 15702 divisible by 3?
  7. 7.Is 38720 divisible by 20?
  8. 8.Is 13067 divisible by 3?
  9. 9.Is 37696 divisible by 9?
  10. 10.Is 113645 divisible by 17?
  11. 11.Is 85455 divisible by 15?
  12. 12.Is 44346 divisible by 8?
  13. 13.Is 109175 divisible by 24?
  14. 14.Is 7623 divisible by 6?
  15. 15.Is 119419 divisible by 29?
  16. 16.Is 5480 divisible by 2?
  17. 17.Is 10674 divisible by 18?
  18. 18.Is 86976 divisible by 29?
  19. 19.Is 21321 divisible by 5?
  20. 20.Is 70290 divisible by 15?
  21. 21.Is 16189 divisible by 10?
  22. 22.Is 409 divisible by 9?
  23. 23.Is 3975 divisible by 3?
  24. 24.Is 22292 divisible by 6?
  25. 25.Is 88762 divisible by 18?
  26. 26.Is 18580 divisible by 4?
  27. 27.Is 148944 divisible by 29?
  28. 28.Is 4915 divisible by 3?
  29. 29.Is 2584 divisible by 4?
  30. 30.Is 2457 divisible by 3?
  31. 31.Is 2635 divisible by 2?
  32. 32.Is 10740 divisible by 15?
  33. 33.Is 158733 divisible by 24?
  34. 34.Is 126709 divisible by 19?
  35. 35.Is 39042 divisible by 6?
  36. 36.Is 2630 divisible by 2?
  37. 37.Is 71024 divisible by 29?
  38. 38.Is 142258 divisible by 30?
  39. 39.Is 125790 divisible by 30?
  40. 40.Is 85080 divisible by 24?

Answer key

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

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