← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 216 · 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 193470 divisible by 30?
  2. 2.Is 40337 divisible by 19?
  3. 3.Is 27244 divisible by 7?
  4. 4.Is 84622 divisible by 18?
  5. 5.Is 13644 divisible by 18?
  6. 6.Is 39425 divisible by 18?
  7. 7.Is 86536 divisible by 29?
  8. 8.Is 3560 divisible by 4?
  9. 9.Is 12004 divisible by 2?
  10. 10.Is 5341 divisible by 2?
  11. 11.Is 10360 divisible by 4?
  12. 12.Is 22143 divisible by 5?
  13. 13.Is 3752 divisible by 2?
  14. 14.Is 163618 divisible by 30?
  15. 15.Is 17100 divisible by 6?
  16. 16.Is 17040 divisible by 8?
  17. 17.Is 2526 divisible by 3?
  18. 18.Is 12371 divisible by 7?
  19. 19.Is 2256 divisible by 2?
  20. 20.Is 12897 divisible by 4?
  21. 21.Is 114031 divisible by 18?
  22. 22.Is 36108 divisible by 11?
  23. 23.Is 76380 divisible by 19?
  24. 24.Is 63037 divisible by 13?
  25. 25.Is 90819 divisible by 20?
  26. 26.Is 30810 divisible by 30?
  27. 27.Is 44385 divisible by 13?
  28. 28.Is 9522 divisible by 4?
  29. 29.Is 18414 divisible by 18?
  30. 30.Is 29240 divisible by 8?
  31. 31.Is 29319 divisible by 7?
  32. 32.Is 66936 divisible by 24?
  33. 33.Is 68580 divisible by 20?
  34. 34.Is 29287 divisible by 8?
  35. 35.Is 41940 divisible by 9?
  36. 36.Is 30888 divisible by 17?
  37. 37.Is 149736 divisible by 29?
  38. 38.Is 115271 divisible by 18?
  39. 39.Is 5484 divisible by 3?
  40. 40.Is 26433 divisible by 11?

Answer key

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

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