← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 909 · 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 43260 divisible by 30?
  2. 2.Is 18589 divisible by 3?
  3. 3.Is 65860 divisible by 10?
  4. 4.Is 12707 divisible by 6?
  5. 5.Is 9366 divisible by 10?
  6. 6.Is 77583 divisible by 29?
  7. 7.Is 1600 divisible by 20?
  8. 8.Is 54733 divisible by 29?
  9. 9.Is 37521 divisible by 9?
  10. 10.Is 22761 divisible by 8?
  11. 11.Is 45068 divisible by 9?
  12. 12.Is 1219 divisible by 4?
  13. 13.Is 56976 divisible by 11?
  14. 14.Is 20265 divisible by 8?
  15. 15.Is 87795 divisible by 15?
  16. 16.Is 28745 divisible by 5?
  17. 17.Is 20377 divisible by 9?
  18. 18.Is 98940 divisible by 20?
  19. 19.Is 1561 divisible by 20?
  20. 20.Is 27106 divisible by 9?
  21. 21.Is 117002 divisible by 19?
  22. 22.Is 1440 divisible by 12?
  23. 23.Is 13117 divisible by 8?
  24. 24.Is 25220 divisible by 4?
  25. 25.Is 7686 divisible by 2?
  26. 26.Is 16704 divisible by 3?
  27. 27.Is 11525 divisible by 9?
  28. 28.Is 2800 divisible by 2?
  29. 29.Is 26945 divisible by 12?
  30. 30.Is 525 divisible by 5?
  31. 31.Is 20572 divisible by 4?
  32. 32.Is 114060 divisible by 30?
  33. 33.Is 53822 divisible by 8?
  34. 34.Is 118514 divisible by 18?
  35. 35.Is 96457 divisible by 15?
  36. 36.Is 20909 divisible by 29?
  37. 37.Is 36765 divisible by 12?
  38. 38.Is 31679 divisible by 5?
  39. 39.Is 51256 divisible by 13?
  40. 40.Is 16910 divisible by 10?

Answer key

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

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