← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 612 · 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 19890 divisible by 13?
  2. 2.Is 13485 divisible by 4?
  3. 3.Is 31202 divisible by 24?
  4. 4.Is 86996 divisible by 18?
  5. 5.Is 37753 divisible by 12?
  6. 6.Is 3640 divisible by 2?
  7. 7.Is 149730 divisible by 23?
  8. 8.Is 15316 divisible by 13?
  9. 9.Is 37071 divisible by 7?
  10. 10.Is 6879 divisible by 2?
  11. 11.Is 28398 divisible by 6?
  12. 12.Is 36664 divisible by 8?
  13. 13.Is 161220 divisible by 30?
  14. 14.Is 28578 divisible by 11?
  15. 15.Is 102280 divisible by 20?
  16. 16.Is 294 divisible by 3?
  17. 17.Is 13438 divisible by 6?
  18. 18.Is 22997 divisible by 9?
  19. 19.Is 43625 divisible by 12?
  20. 20.Is 50034 divisible by 11?
  21. 21.Is 7546 divisible by 2?
  22. 22.Is 12677 divisible by 6?
  23. 23.Is 79229 divisible by 12?
  24. 24.Is 117168 divisible by 24?
  25. 25.Is 79199 divisible by 29?
  26. 26.Is 173550 divisible by 30?
  27. 27.Is 51579 divisible by 9?
  28. 28.Is 56520 divisible by 24?
  29. 29.Is 5844 divisible by 4?
  30. 30.Is 83580 divisible by 30?
  31. 31.Is 30759 divisible by 5?
  32. 32.Is 45019 divisible by 18?
  33. 33.Is 65636 divisible by 15?
  34. 34.Is 91103 divisible by 23?
  35. 35.Is 41874 divisible by 6?
  36. 36.Is 2820 divisible by 2?
  37. 37.Is 25898 divisible by 23?
  38. 38.Is 49860 divisible by 12?
  39. 39.Is 26190 divisible by 6?
  40. 40.Is 16786 divisible by 7?

Answer key

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

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