← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 440 · 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 24297 divisible by 4?
  2. 2.Is 82772 divisible by 20?
  3. 3.Is 14866 divisible by 9?
  4. 4.Is 82104 divisible by 12?
  5. 5.Is 69320 divisible by 20?
  6. 6.Is 5126 divisible by 4?
  7. 7.Is 56518 divisible by 9?
  8. 8.Is 76907 divisible by 24?
  9. 9.Is 7019 divisible by 4?
  10. 10.Is 4606 divisible by 5?
  11. 11.Is 27269 divisible by 5?
  12. 12.Is 45958 divisible by 11?
  13. 13.Is 24562 divisible by 10?
  14. 14.Is 33307 divisible by 12?
  15. 15.Is 26469 divisible by 4?
  16. 16.Is 24817 divisible by 5?
  17. 17.Is 6135 divisible by 4?
  18. 18.Is 48221 divisible by 10?
  19. 19.Is 46059 divisible by 11?
  20. 20.Is 31791 divisible by 5?
  21. 21.Is 16760 divisible by 20?
  22. 22.Is 47330 divisible by 12?
  23. 23.Is 25865 divisible by 5?
  24. 24.Is 27743 divisible by 9?
  25. 25.Is 26032 divisible by 24?
  26. 26.Is 9147 divisible by 5?
  27. 27.Is 20155 divisible by 29?
  28. 28.Is 8449 divisible by 7?
  29. 29.Is 28845 divisible by 19?
  30. 30.Is 34600 divisible by 10?
  31. 31.Is 56464 divisible by 23?
  32. 32.Is 45588 divisible by 19?
  33. 33.Is 7126 divisible by 9?
  34. 34.Is 6280 divisible by 10?
  35. 35.Is 78557 divisible by 17?
  36. 36.Is 129320 divisible by 20?
  37. 37.Is 9116 divisible by 9?
  38. 38.Is 664 divisible by 2?
  39. 39.Is 6408 divisible by 3?
  40. 40.Is 192487 divisible by 29?

Answer key

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

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