← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 626 · 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 132067 divisible by 29?
  2. 2.Is 7472 divisible by 4?
  3. 3.Is 8911 divisible by 7?
  4. 4.Is 49910 divisible by 29?
  5. 5.Is 69970 divisible by 11?
  6. 6.Is 22544 divisible by 4?
  7. 7.Is 3580 divisible by 4?
  8. 8.Is 15639 divisible by 30?
  9. 9.Is 40817 divisible by 7?
  10. 10.Is 28154 divisible by 18?
  11. 11.Is 50508 divisible by 9?
  12. 12.Is 173043 divisible by 29?
  13. 13.Is 105978 divisible by 19?
  14. 14.Is 119157 divisible by 24?
  15. 15.Is 37030 divisible by 6?
  16. 16.Is 75956 divisible by 19?
  17. 17.Is 32089 divisible by 23?
  18. 18.Is 34524 divisible by 6?
  19. 19.Is 83060 divisible by 15?
  20. 20.Is 37352 divisible by 23?
  21. 21.Is 13956 divisible by 6?
  22. 22.Is 2759 divisible by 3?
  23. 23.Is 2963 divisible by 2?
  24. 24.Is 50491 divisible by 9?
  25. 25.Is 67873 divisible by 13?
  26. 26.Is 4348 divisible by 11?
  27. 27.Is 73200 divisible by 12?
  28. 28.Is 1550 divisible by 18?
  29. 29.Is 26541 divisible by 9?
  30. 30.Is 8200 divisible by 3?
  31. 31.Is 45114 divisible by 10?
  32. 32.Is 24891 divisible by 11?
  33. 33.Is 37652 divisible by 30?
  34. 34.Is 86550 divisible by 30?
  35. 35.Is 37197 divisible by 15?
  36. 36.Is 5925 divisible by 19?
  37. 37.Is 20428 divisible by 4?
  38. 38.Is 6644 divisible by 2?
  39. 39.Is 60154 divisible by 9?
  40. 40.Is 128245 divisible by 23?

Answer key

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

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