← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 847 · 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 100950 divisible by 15?
  2. 2.Is 13914 divisible by 13?
  3. 3.Is 61449 divisible by 11?
  4. 4.Is 67982 divisible by 19?
  5. 5.Is 288 divisible by 8?
  6. 6.Is 794 divisible by 3?
  7. 7.Is 52021 divisible by 13?
  8. 8.Is 57195 divisible by 9?
  9. 9.Is 43848 divisible by 24?
  10. 10.Is 41081 divisible by 13?
  11. 11.Is 792 divisible by 4?
  12. 12.Is 2856 divisible by 8?
  13. 13.Is 24905 divisible by 4?
  14. 14.Is 5663 divisible by 10?
  15. 15.Is 89220 divisible by 15?
  16. 16.Is 10214 divisible by 12?
  17. 17.Is 19608 divisible by 4?
  18. 18.Is 13369 divisible by 12?
  19. 19.Is 59468 divisible by 10?
  20. 20.Is 72480 divisible by 12?
  21. 21.Is 57137 divisible by 17?
  22. 22.Is 28478 divisible by 29?
  23. 23.Is 76981 divisible by 23?
  24. 24.Is 1824 divisible by 2?
  25. 25.Is 13527 divisible by 8?
  26. 26.Is 26474 divisible by 7?
  27. 27.Is 12710 divisible by 11?
  28. 28.Is 98085 divisible by 15?
  29. 29.Is 52402 divisible by 24?
  30. 30.Is 41130 divisible by 10?
  31. 31.Is 5980 divisible by 23?
  32. 32.Is 70591 divisible by 20?
  33. 33.Is 2028 divisible by 13?
  34. 34.Is 25122 divisible by 7?
  35. 35.Is 20793 divisible by 13?
  36. 36.Is 8700 divisible by 13?
  37. 37.Is 18064 divisible by 8?
  38. 38.Is 62400 divisible by 15?
  39. 39.Is 18823 divisible by 7?
  40. 40.Is 54142 divisible by 23?

Answer key

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

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