← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 595 · 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 81168 divisible by 19?
  2. 2.Is 84975 divisible by 15?
  3. 3.Is 59474 divisible by 9?
  4. 4.Is 4052 divisible by 2?
  5. 5.Is 19626 divisible by 11?
  6. 6.Is 35115 divisible by 30?
  7. 7.Is 34610 divisible by 7?
  8. 8.Is 28872 divisible by 24?
  9. 9.Is 111012 divisible by 29?
  10. 10.Is 57060 divisible by 10?
  11. 11.Is 26505 divisible by 19?
  12. 12.Is 71104 divisible by 11?
  13. 13.Is 15776 divisible by 4?
  14. 14.Is 79441 divisible by 17?
  15. 15.Is 30728 divisible by 8?
  16. 16.Is 13115 divisible by 5?
  17. 17.Is 75336 divisible by 18?
  18. 18.Is 537 divisible by 9?
  19. 19.Is 19975 divisible by 4?
  20. 20.Is 92629 divisible by 17?
  21. 21.Is 9149 divisible by 2?
  22. 22.Is 94622 divisible by 17?
  23. 23.Is 182373 divisible by 30?
  24. 24.Is 22463 divisible by 4?
  25. 25.Is 7242 divisible by 17?
  26. 26.Is 18908 divisible by 17?
  27. 27.Is 11209 divisible by 2?
  28. 28.Is 29100 divisible by 29?
  29. 29.Is 2736 divisible by 3?
  30. 30.Is 20261 divisible by 5?
  31. 31.Is 36651 divisible by 9?
  32. 32.Is 43888 divisible by 8?
  33. 33.Is 10566 divisible by 18?
  34. 34.Is 3292 divisible by 2?
  35. 35.Is 4662 divisible by 7?
  36. 36.Is 18836 divisible by 3?
  37. 37.Is 172138 divisible by 29?
  38. 38.Is 9756 divisible by 5?
  39. 39.Is 44292 divisible by 12?
  40. 40.Is 17633 divisible by 3?

Answer key

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

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