← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 582 · 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 10668 divisible by 2?
  2. 2.Is 104839 divisible by 17?
  3. 3.Is 19028 divisible by 3?
  4. 4.Is 3544 divisible by 10?
  5. 5.Is 31508 divisible by 8?
  6. 6.Is 46791 divisible by 9?
  7. 7.Is 6920 divisible by 12?
  8. 8.Is 43240 divisible by 7?
  9. 9.Is 25663 divisible by 4?
  10. 10.Is 23562 divisible by 11?
  11. 11.Is 1651 divisible by 2?
  12. 12.Is 23306 divisible by 4?
  13. 13.Is 74208 divisible by 24?
  14. 14.Is 28730 divisible by 30?
  15. 15.Is 14977 divisible by 3?
  16. 16.Is 15314 divisible by 5?
  17. 17.Is 3935 divisible by 5?
  18. 18.Is 23310 divisible by 18?
  19. 19.Is 74460 divisible by 15?
  20. 20.Is 19102 divisible by 7?
  21. 21.Is 34704 divisible by 12?
  22. 22.Is 43988 divisible by 8?
  23. 23.Is 108635 divisible by 29?
  24. 24.Is 33584 divisible by 11?
  25. 25.Is 30485 divisible by 30?
  26. 26.Is 25401 divisible by 5?
  27. 27.Is 22765 divisible by 29?
  28. 28.Is 124240 divisible by 30?
  29. 29.Is 36265 divisible by 8?
  30. 30.Is 169227 divisible by 30?
  31. 31.Is 44161 divisible by 18?
  32. 32.Is 6272 divisible by 7?
  33. 33.Is 87105 divisible by 15?
  34. 34.Is 44410 divisible by 7?
  35. 35.Is 8456 divisible by 4?
  36. 36.Is 18597 divisible by 17?
  37. 37.Is 109706 divisible by 19?
  38. 38.Is 56244 divisible by 12?
  39. 39.Is 53318 divisible by 10?
  40. 40.Is 114264 divisible by 23?

Answer key

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

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