← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 515 · 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 28405 divisible by 10?
  2. 2.Is 104986 divisible by 17?
  3. 3.Is 34353 divisible by 9?
  4. 4.Is 3807 divisible by 9?
  5. 5.Is 17480 divisible by 20?
  6. 6.Is 26564 divisible by 4?
  7. 7.Is 6872 divisible by 3?
  8. 8.Is 40914 divisible by 6?
  9. 9.Is 10355 divisible by 5?
  10. 10.Is 5655 divisible by 2?
  11. 11.Is 77617 divisible by 12?
  12. 12.Is 110706 divisible by 30?
  13. 13.Is 783 divisible by 3?
  14. 14.Is 68389 divisible by 12?
  15. 15.Is 20884 divisible by 4?
  16. 16.Is 11868 divisible by 3?
  17. 17.Is 2186 divisible by 4?
  18. 18.Is 39324 divisible by 20?
  19. 19.Is 27452 divisible by 4?
  20. 20.Is 14301 divisible by 12?
  21. 21.Is 12406 divisible by 5?
  22. 22.Is 13672 divisible by 5?
  23. 23.Is 168548 divisible by 29?
  24. 24.Is 41272 divisible by 11?
  25. 25.Is 10748 divisible by 3?
  26. 26.Is 50680 divisible by 8?
  27. 27.Is 8785 divisible by 7?
  28. 28.Is 78146 divisible by 12?
  29. 29.Is 32490 divisible by 19?
  30. 30.Is 90148 divisible by 29?
  31. 31.Is 20880 divisible by 12?
  32. 32.Is 46050 divisible by 7?
  33. 33.Is 112896 divisible by 18?
  34. 34.Is 9811 divisible by 4?
  35. 35.Is 65907 divisible by 30?
  36. 36.Is 49503 divisible by 13?
  37. 37.Is 12922 divisible by 2?
  38. 38.Is 101952 divisible by 19?
  39. 39.Is 26014 divisible by 5?
  40. 40.Is 6005 divisible by 4?

Answer key

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

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