← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 28 · 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 112894 divisible by 19?
  2. 2.Is 9793 divisible by 4?
  3. 3.Is 5809 divisible by 20?
  4. 4.Is 3297 divisible by 2?
  5. 5.Is 20915 divisible by 23?
  6. 6.Is 38661 divisible by 7?
  7. 7.Is 17159 divisible by 17?
  8. 8.Is 63241 divisible by 17?
  9. 9.Is 52545 divisible by 15?
  10. 10.Is 88794 divisible by 18?
  11. 11.Is 2163 divisible by 3?
  12. 12.Is 35373 divisible by 13?
  13. 13.Is 108558 divisible by 19?
  14. 14.Is 35191 divisible by 15?
  15. 15.Is 11468 divisible by 7?
  16. 16.Is 5762 divisible by 11?
  17. 17.Is 32710 divisible by 9?
  18. 18.Is 69804 divisible by 11?
  19. 19.Is 79867 divisible by 20?
  20. 20.Is 4635 divisible by 10?
  21. 21.Is 4251 divisible by 11?
  22. 22.Is 193546 divisible by 29?
  23. 23.Is 23188 divisible by 7?
  24. 24.Is 15820 divisible by 5?
  25. 25.Is 40890 divisible by 8?
  26. 26.Is 8130 divisible by 3?
  27. 27.Is 66903 divisible by 13?
  28. 28.Is 3133 divisible by 7?
  29. 29.Is 32868 divisible by 5?
  30. 30.Is 112599 divisible by 17?
  31. 31.Is 25760 divisible by 7?
  32. 32.Is 14361 divisible by 5?
  33. 33.Is 8004 divisible by 6?
  34. 34.Is 27863 divisible by 17?
  35. 35.Is 34621 divisible by 10?
  36. 36.Is 111381 divisible by 17?
  37. 37.Is 42845 divisible by 19?
  38. 38.Is 3246 divisible by 3?
  39. 39.Is 60552 divisible by 24?
  40. 40.Is 15388 divisible by 30?

Answer key

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

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