← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 418 · 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 16535 divisible by 8?
  2. 2.Is 31136 divisible by 7?
  3. 3.Is 3360 divisible by 2?
  4. 4.Is 9111 divisible by 2?
  5. 5.Is 10065 divisible by 6?
  6. 6.Is 100179 divisible by 15?
  7. 7.Is 34507 divisible by 7?
  8. 8.Is 83200 divisible by 13?
  9. 9.Is 101082 divisible by 17?
  10. 10.Is 1009 divisible by 2?
  11. 11.Is 124407 divisible by 23?
  12. 12.Is 102105 divisible by 15?
  13. 13.Is 144413 divisible by 30?
  14. 14.Is 9920 divisible by 8?
  15. 15.Is 20497 divisible by 11?
  16. 16.Is 82479 divisible by 19?
  17. 17.Is 30849 divisible by 7?
  18. 18.Is 2907 divisible by 3?
  19. 19.Is 62088 divisible by 12?
  20. 20.Is 62932 divisible by 15?
  21. 21.Is 46220 divisible by 20?
  22. 22.Is 27196 divisible by 5?
  23. 23.Is 33965 divisible by 5?
  24. 24.Is 49561 divisible by 18?
  25. 25.Is 4080 divisible by 6?
  26. 26.Is 34627 divisible by 6?
  27. 27.Is 16167 divisible by 6?
  28. 28.Is 1508 divisible by 29?
  29. 29.Is 5406 divisible by 5?
  30. 30.Is 10438 divisible by 3?
  31. 31.Is 21561 divisible by 6?
  32. 32.Is 35812 divisible by 20?
  33. 33.Is 70414 divisible by 19?
  34. 34.Is 42915 divisible by 15?
  35. 35.Is 33031 divisible by 17?
  36. 36.Is 170459 divisible by 29?
  37. 37.Is 10298 divisible by 19?
  38. 38.Is 3395 divisible by 24?
  39. 39.Is 58795 divisible by 10?
  40. 40.Is 21198 divisible by 6?

Answer key

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

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