← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 317 · 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 22171 divisible by 12?
  2. 2.Is 49994 divisible by 8?
  3. 3.Is 3393 divisible by 2?
  4. 4.Is 44441 divisible by 19?
  5. 5.Is 8196 divisible by 19?
  6. 6.Is 32865 divisible by 7?
  7. 7.Is 13526 divisible by 2?
  8. 8.Is 198215 divisible by 29?
  9. 9.Is 494 divisible by 19?
  10. 10.Is 20243 divisible by 3?
  11. 11.Is 11409 divisible by 7?
  12. 12.Is 33832 divisible by 10?
  13. 13.Is 162951 divisible by 29?
  14. 14.Is 3992 divisible by 5?
  15. 15.Is 41847 divisible by 6?
  16. 16.Is 21008 divisible by 4?
  17. 17.Is 38639 divisible by 7?
  18. 18.Is 61890 divisible by 13?
  19. 19.Is 90746 divisible by 23?
  20. 20.Is 11484 divisible by 8?
  21. 21.Is 20394 divisible by 12?
  22. 22.Is 49503 divisible by 29?
  23. 23.Is 10473 divisible by 2?
  24. 24.Is 47160 divisible by 8?
  25. 25.Is 26064 divisible by 18?
  26. 26.Is 10848 divisible by 7?
  27. 27.Is 111651 divisible by 23?
  28. 28.Is 18710 divisible by 5?
  29. 29.Is 1645 divisible by 2?
  30. 30.Is 15198 divisible by 9?
  31. 31.Is 16261 divisible by 4?
  32. 32.Is 51278 divisible by 13?
  33. 33.Is 29395 divisible by 6?
  34. 34.Is 36806 divisible by 7?
  35. 35.Is 11746 divisible by 3?
  36. 36.Is 6597 divisible by 15?
  37. 37.Is 17938 divisible by 4?
  38. 38.Is 3184 divisible by 2?
  39. 39.Is 2586 divisible by 13?
  40. 40.Is 8061 divisible by 8?

Answer key

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

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