← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 814 · 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 29286 divisible by 9?
  2. 2.Is 22922 divisible by 9?
  3. 3.Is 25952 divisible by 8?
  4. 4.Is 68105 divisible by 10?
  5. 5.Is 14569 divisible by 17?
  6. 6.Is 55592 divisible by 18?
  7. 7.Is 65961 divisible by 11?
  8. 8.Is 52099 divisible by 24?
  9. 9.Is 95100 divisible by 15?
  10. 10.Is 74112 divisible by 12?
  11. 11.Is 137424 divisible by 24?
  12. 12.Is 19842 divisible by 12?
  13. 13.Is 8050 divisible by 7?
  14. 14.Is 11161 divisible by 2?
  15. 15.Is 135570 divisible by 30?
  16. 16.Is 37086 divisible by 9?
  17. 17.Is 2288 divisible by 8?
  18. 18.Is 42630 divisible by 17?
  19. 19.Is 45293 divisible by 8?
  20. 20.Is 128441 divisible by 29?
  21. 21.Is 107893 divisible by 23?
  22. 22.Is 45818 divisible by 7?
  23. 23.Is 11196 divisible by 12?
  24. 24.Is 112884 divisible by 23?
  25. 25.Is 2461 divisible by 4?
  26. 26.Is 13878 divisible by 6?
  27. 27.Is 42670 divisible by 23?
  28. 28.Is 30219 divisible by 10?
  29. 29.Is 6526 divisible by 2?
  30. 30.Is 104400 divisible by 15?
  31. 31.Is 80136 divisible by 24?
  32. 32.Is 141626 divisible by 23?
  33. 33.Is 58159 divisible by 19?
  34. 34.Is 1838 divisible by 2?
  35. 35.Is 29294 divisible by 29?
  36. 36.Is 24810 divisible by 15?
  37. 37.Is 174060 divisible by 30?
  38. 38.Is 13356 divisible by 9?
  39. 39.Is 22023 divisible by 9?
  40. 40.Is 56328 divisible by 24?

Answer key

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

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