← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 672 · 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 38593 divisible by 12?
  2. 2.Is 20764 divisible by 4?
  3. 3.Is 44655 divisible by 15?
  4. 4.Is 13906 divisible by 23?
  5. 5.Is 51164 divisible by 8?
  6. 6.Is 18873 divisible by 3?
  7. 7.Is 52846 divisible by 12?
  8. 8.Is 128707 divisible by 29?
  9. 9.Is 9201 divisible by 5?
  10. 10.Is 132135 divisible by 23?
  11. 11.Is 9510 divisible by 3?
  12. 12.Is 2780 divisible by 10?
  13. 13.Is 102222 divisible by 18?
  14. 14.Is 33610 divisible by 5?
  15. 15.Is 25715 divisible by 5?
  16. 16.Is 65678 divisible by 12?
  17. 17.Is 153997 divisible by 23?
  18. 18.Is 43137 divisible by 18?
  19. 19.Is 19701 divisible by 19?
  20. 20.Is 53532 divisible by 9?
  21. 21.Is 10134 divisible by 2?
  22. 22.Is 51666 divisible by 12?
  23. 23.Is 8690 divisible by 11?
  24. 24.Is 60120 divisible by 9?
  25. 25.Is 1470 divisible by 5?
  26. 26.Is 11772 divisible by 4?
  27. 27.Is 84014 divisible by 15?
  28. 28.Is 46816 divisible by 10?
  29. 29.Is 2996 divisible by 2?
  30. 30.Is 10738 divisible by 2?
  31. 31.Is 18716 divisible by 6?
  32. 32.Is 67140 divisible by 12?
  33. 33.Is 94380 divisible by 19?
  34. 34.Is 11535 divisible by 15?
  35. 35.Is 85943 divisible by 13?
  36. 36.Is 19474 divisible by 3?
  37. 37.Is 48674 divisible by 8?
  38. 38.Is 123426 divisible by 24?
  39. 39.Is 11952 divisible by 7?
  40. 40.Is 109010 divisible by 30?

Answer key

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

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