← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 373 · 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 134032 divisible by 29?
  2. 2.Is 31576 divisible by 19?
  3. 3.Is 1224 divisible by 2?
  4. 4.Is 136039 divisible by 30?
  5. 5.Is 13727 divisible by 15?
  6. 6.Is 7690 divisible by 10?
  7. 7.Is 69945 divisible by 24?
  8. 8.Is 14105 divisible by 29?
  9. 9.Is 23700 divisible by 5?
  10. 10.Is 9564 divisible by 4?
  11. 11.Is 11400 divisible by 24?
  12. 12.Is 72506 divisible by 17?
  13. 13.Is 31546 divisible by 20?
  14. 14.Is 40230 divisible by 15?
  15. 15.Is 78430 divisible by 29?
  16. 16.Is 27098 divisible by 17?
  17. 17.Is 12908 divisible by 12?
  18. 18.Is 68845 divisible by 10?
  19. 19.Is 137360 divisible by 20?
  20. 20.Is 96984 divisible by 18?
  21. 21.Is 5151 divisible by 3?
  22. 22.Is 25254 divisible by 18?
  23. 23.Is 90202 divisible by 17?
  24. 24.Is 52867 divisible by 29?
  25. 25.Is 22599 divisible by 7?
  26. 26.Is 21231 divisible by 11?
  27. 27.Is 4098 divisible by 3?
  28. 28.Is 78820 divisible by 20?
  29. 29.Is 15480 divisible by 20?
  30. 30.Is 36379 divisible by 20?
  31. 31.Is 78318 divisible by 18?
  32. 32.Is 53400 divisible by 12?
  33. 33.Is 83128 divisible by 12?
  34. 34.Is 520 divisible by 8?
  35. 35.Is 18148 divisible by 17?
  36. 36.Is 32413 divisible by 17?
  37. 37.Is 49779 divisible by 9?
  38. 38.Is 178594 divisible by 30?
  39. 39.Is 38483 divisible by 11?
  40. 40.Is 43770 divisible by 15?

Answer key

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

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