← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 18 · 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 65857 divisible by 11?
  2. 2.Is 5352 divisible by 24?
  3. 3.Is 51675 divisible by 13?
  4. 4.Is 5332 divisible by 3?
  5. 5.Is 7698 divisible by 3?
  6. 6.Is 43946 divisible by 7?
  7. 7.Is 164378 divisible by 29?
  8. 8.Is 31907 divisible by 5?
  9. 9.Is 103848 divisible by 24?
  10. 10.Is 943 divisible by 23?
  11. 11.Is 43187 divisible by 19?
  12. 12.Is 15041 divisible by 29?
  13. 13.Is 46816 divisible by 19?
  14. 14.Is 44804 divisible by 23?
  15. 15.Is 13135 divisible by 13?
  16. 16.Is 83460 divisible by 13?
  17. 17.Is 954 divisible by 19?
  18. 18.Is 82320 divisible by 24?
  19. 19.Is 26078 divisible by 13?
  20. 20.Is 58116 divisible by 12?
  21. 21.Is 15664 divisible by 8?
  22. 22.Is 63052 divisible by 11?
  23. 23.Is 14221 divisible by 3?
  24. 24.Is 11173 divisible by 2?
  25. 25.Is 46093 divisible by 12?
  26. 26.Is 30817 divisible by 23?
  27. 27.Is 53215 divisible by 29?
  28. 28.Is 53690 divisible by 10?
  29. 29.Is 45521 divisible by 10?
  30. 30.Is 42577 divisible by 23?
  31. 31.Is 462 divisible by 7?
  32. 32.Is 19792 divisible by 24?
  33. 33.Is 30678 divisible by 6?
  34. 34.Is 13347 divisible by 9?
  35. 35.Is 12955 divisible by 18?
  36. 36.Is 12042 divisible by 9?
  37. 37.Is 45970 divisible by 19?
  38. 38.Is 117147 divisible by 17?
  39. 39.Is 31472 divisible by 7?
  40. 40.Is 22348 divisible by 4?

Answer key

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

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