← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 873 · 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 4997 divisible by 5?
  2. 2.Is 53496 divisible by 24?
  3. 3.Is 99073 divisible by 20?
  4. 4.Is 21221 divisible by 19?
  5. 5.Is 3928 divisible by 18?
  6. 6.Is 36930 divisible by 11?
  7. 7.Is 77903 divisible by 12?
  8. 8.Is 50863 divisible by 19?
  9. 9.Is 5951 divisible by 2?
  10. 10.Is 84060 divisible by 20?
  11. 11.Is 117306 divisible by 18?
  12. 12.Is 133751 divisible by 20?
  13. 13.Is 10118 divisible by 2?
  14. 14.Is 20460 divisible by 7?
  15. 15.Is 120312 divisible by 24?
  16. 16.Is 42371 divisible by 8?
  17. 17.Is 34470 divisible by 13?
  18. 18.Is 25977 divisible by 5?
  19. 19.Is 75472 divisible by 11?
  20. 20.Is 19336 divisible by 4?
  21. 21.Is 66607 divisible by 11?
  22. 22.Is 9295 divisible by 13?
  23. 23.Is 52520 divisible by 8?
  24. 24.Is 9054 divisible by 3?
  25. 25.Is 36124 divisible by 19?
  26. 26.Is 23469 divisible by 4?
  27. 27.Is 31163 divisible by 20?
  28. 28.Is 27041 divisible by 7?
  29. 29.Is 63789 divisible by 11?
  30. 30.Is 30609 divisible by 9?
  31. 31.Is 135355 divisible by 23?
  32. 32.Is 11239 divisible by 11?
  33. 33.Is 9411 divisible by 3?
  34. 34.Is 3893 divisible by 2?
  35. 35.Is 12214 divisible by 13?
  36. 36.Is 41076 divisible by 12?
  37. 37.Is 87105 divisible by 20?
  38. 38.Is 189211 divisible by 30?
  39. 39.Is 35033 divisible by 24?
  40. 40.Is 13976 divisible by 12?

Answer key

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

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