← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 401 · 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 3913 divisible by 3?
  2. 2.Is 44998 divisible by 12?
  3. 3.Is 57105 divisible by 9?
  4. 4.Is 69687 divisible by 29?
  5. 5.Is 19038 divisible by 3?
  6. 6.Is 24748 divisible by 23?
  7. 7.Is 74937 divisible by 12?
  8. 8.Is 26226 divisible by 18?
  9. 9.Is 116223 divisible by 19?
  10. 10.Is 144175 divisible by 30?
  11. 11.Is 15360 divisible by 8?
  12. 12.Is 94806 divisible by 18?
  13. 13.Is 40299 divisible by 7?
  14. 14.Is 2889 divisible by 2?
  15. 15.Is 4020 divisible by 6?
  16. 16.Is 16468 divisible by 4?
  17. 17.Is 46262 divisible by 12?
  18. 18.Is 168 divisible by 3?
  19. 19.Is 7388 divisible by 3?
  20. 20.Is 19172 divisible by 5?
  21. 21.Is 113970 divisible by 29?
  22. 22.Is 13613 divisible by 4?
  23. 23.Is 9326 divisible by 2?
  24. 24.Is 24960 divisible by 20?
  25. 25.Is 19588 divisible by 5?
  26. 26.Is 82019 divisible by 15?
  27. 27.Is 23352 divisible by 24?
  28. 28.Is 65670 divisible by 30?
  29. 29.Is 24643 divisible by 5?
  30. 30.Is 60842 divisible by 29?
  31. 31.Is 9681 divisible by 7?
  32. 32.Is 16907 divisible by 29?
  33. 33.Is 12047 divisible by 7?
  34. 34.Is 105216 divisible by 20?
  35. 35.Is 1511 divisible by 2?
  36. 36.Is 39818 divisible by 6?
  37. 37.Is 105222 divisible by 19?
  38. 38.Is 27748 divisible by 4?
  39. 39.Is 40740 divisible by 12?
  40. 40.Is 96202 divisible by 15?

Answer key

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

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