← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 867 · 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 16304 divisible by 9?
  2. 2.Is 38228 divisible by 19?
  3. 3.Is 94080 divisible by 23?
  4. 4.Is 6530 divisible by 23?
  5. 5.Is 30444 divisible by 12?
  6. 6.Is 112189 divisible by 17?
  7. 7.Is 25512 divisible by 13?
  8. 8.Is 6568 divisible by 4?
  9. 9.Is 80915 divisible by 20?
  10. 10.Is 83385 divisible by 15?
  11. 11.Is 140019 divisible by 20?
  12. 12.Is 39559 divisible by 23?
  13. 13.Is 51753 divisible by 10?
  14. 14.Is 35567 divisible by 23?
  15. 15.Is 15330 divisible by 30?
  16. 16.Is 27460 divisible by 5?
  17. 17.Is 1914 divisible by 5?
  18. 18.Is 37653 divisible by 11?
  19. 19.Is 75231 divisible by 12?
  20. 20.Is 97911 divisible by 23?
  21. 21.Is 24300 divisible by 18?
  22. 22.Is 68325 divisible by 13?
  23. 23.Is 8664 divisible by 3?
  24. 24.Is 11937 divisible by 4?
  25. 25.Is 18848 divisible by 3?
  26. 26.Is 131266 divisible by 24?
  27. 27.Is 33213 divisible by 10?
  28. 28.Is 12195 divisible by 3?
  29. 29.Is 13669 divisible by 7?
  30. 30.Is 134782 divisible by 30?
  31. 31.Is 6338 divisible by 3?
  32. 32.Is 22095 divisible by 15?
  33. 33.Is 103108 divisible by 24?
  34. 34.Is 87253 divisible by 20?
  35. 35.Is 48980 divisible by 20?
  36. 36.Is 70271 divisible by 20?
  37. 37.Is 15565 divisible by 11?
  38. 38.Is 22114 divisible by 29?
  39. 39.Is 21833 divisible by 5?
  40. 40.Is 17262 divisible by 7?

Answer key

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

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