← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 944 · 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 90857 divisible by 15?
  2. 2.Is 3513 divisible by 2?
  3. 3.Is 24793 divisible by 4?
  4. 4.Is 52136 divisible by 11?
  5. 5.Is 60375 divisible by 15?
  6. 6.Is 88155 divisible by 15?
  7. 7.Is 8229 divisible by 13?
  8. 8.Is 119360 divisible by 20?
  9. 9.Is 164022 divisible by 24?
  10. 10.Is 67054 divisible by 12?
  11. 11.Is 23903 divisible by 4?
  12. 12.Is 19538 divisible by 3?
  13. 13.Is 1935 divisible by 15?
  14. 14.Is 29350 divisible by 9?
  15. 15.Is 28908 divisible by 6?
  16. 16.Is 77621 divisible by 24?
  17. 17.Is 1370 divisible by 3?
  18. 18.Is 15087 divisible by 19?
  19. 19.Is 38817 divisible by 15?
  20. 20.Is 20230 divisible by 10?
  21. 21.Is 35979 divisible by 15?
  22. 22.Is 55300 divisible by 20?
  23. 23.Is 41102 divisible by 20?
  24. 24.Is 8620 divisible by 3?
  25. 25.Is 53995 divisible by 8?
  26. 26.Is 70530 divisible by 11?
  27. 27.Is 19047 divisible by 8?
  28. 28.Is 12518 divisible by 2?
  29. 29.Is 64615 divisible by 17?
  30. 30.Is 11364 divisible by 6?
  31. 31.Is 9819 divisible by 3?
  32. 32.Is 8810 divisible by 4?
  33. 33.Is 98588 divisible by 20?
  34. 34.Is 62693 divisible by 30?
  35. 35.Is 15105 divisible by 3?
  36. 36.Is 23939 divisible by 24?
  37. 37.Is 7470 divisible by 18?
  38. 38.Is 110712 divisible by 29?
  39. 39.Is 9544 divisible by 2?
  40. 40.Is 498 divisible by 3?

Answer key

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

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