← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 78 · 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 7279 divisible by 29?
  2. 2.Is 60844 divisible by 17?
  3. 3.Is 60127 divisible by 11?
  4. 4.Is 54751 divisible by 9?
  5. 5.Is 76456 divisible by 17?
  6. 6.Is 3156 divisible by 5?
  7. 7.Is 20528 divisible by 4?
  8. 8.Is 6902 divisible by 7?
  9. 9.Is 16643 divisible by 5?
  10. 10.Is 150870 divisible by 30?
  11. 11.Is 7646 divisible by 2?
  12. 12.Is 3934 divisible by 7?
  13. 13.Is 13405 divisible by 18?
  14. 14.Is 20584 divisible by 4?
  15. 15.Is 68484 divisible by 18?
  16. 16.Is 12675 divisible by 13?
  17. 17.Is 126140 divisible by 20?
  18. 18.Is 4689 divisible by 4?
  19. 19.Is 2418 divisible by 2?
  20. 20.Is 5254 divisible by 6?
  21. 21.Is 125856 divisible by 24?
  22. 22.Is 60523 divisible by 29?
  23. 23.Is 4095 divisible by 7?
  24. 24.Is 27937 divisible by 7?
  25. 25.Is 21971 divisible by 7?
  26. 26.Is 37069 divisible by 19?
  27. 27.Is 104657 divisible by 15?
  28. 28.Is 7017 divisible by 20?
  29. 29.Is 69784 divisible by 13?
  30. 30.Is 45896 divisible by 20?
  31. 31.Is 11732 divisible by 2?
  32. 32.Is 7524 divisible by 11?
  33. 33.Is 184500 divisible by 30?
  34. 34.Is 1767 divisible by 3?
  35. 35.Is 30376 divisible by 5?
  36. 36.Is 1073 divisible by 13?
  37. 37.Is 18399 divisible by 8?
  38. 38.Is 19292 divisible by 6?
  39. 39.Is 14580 divisible by 4?
  40. 40.Is 9191 divisible by 2?

Answer key

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

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