← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 717 · 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 28458 divisible by 9?
  2. 2.Is 50818 divisible by 29?
  3. 3.Is 14791 divisible by 12?
  4. 4.Is 728 divisible by 3?
  5. 5.Is 96077 divisible by 23?
  6. 6.Is 111514 divisible by 19?
  7. 7.Is 109992 divisible by 24?
  8. 8.Is 6842 divisible by 3?
  9. 9.Is 55861 divisible by 8?
  10. 10.Is 653 divisible by 20?
  11. 11.Is 4463 divisible by 4?
  12. 12.Is 23112 divisible by 24?
  13. 13.Is 21135 divisible by 5?
  14. 14.Is 1323 divisible by 8?
  15. 15.Is 7657 divisible by 6?
  16. 16.Is 52968 divisible by 24?
  17. 17.Is 12192 divisible by 4?
  18. 18.Is 8339 divisible by 7?
  19. 19.Is 27481 divisible by 6?
  20. 20.Is 18680 divisible by 23?
  21. 21.Is 36225 divisible by 10?
  22. 22.Is 16997 divisible by 4?
  23. 23.Is 3062 divisible by 5?
  24. 24.Is 27709 divisible by 18?
  25. 25.Is 29302 divisible by 6?
  26. 26.Is 26418 divisible by 7?
  27. 27.Is 69274 divisible by 24?
  28. 28.Is 94268 divisible by 18?
  29. 29.Is 99825 divisible by 15?
  30. 30.Is 5084 divisible by 4?
  31. 31.Is 28068 divisible by 12?
  32. 32.Is 18806 divisible by 7?
  33. 33.Is 85284 divisible by 18?
  34. 34.Is 30306 divisible by 6?
  35. 35.Is 85317 divisible by 13?
  36. 36.Is 63036 divisible by 12?
  37. 37.Is 185107 divisible by 29?
  38. 38.Is 77808 divisible by 12?
  39. 39.Is 33526 divisible by 6?
  40. 40.Is 5818 divisible by 3?

Answer key

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

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