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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 330 · 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 39721 divisible by 11?
  2. 2.Is 23539 divisible by 5?
  3. 3.Is 56921 divisible by 23?
  4. 4.Is 131563 divisible by 20?
  5. 5.Is 83238 divisible by 18?
  6. 6.Is 1308 divisible by 6?
  7. 7.Is 315 divisible by 2?
  8. 8.Is 20800 divisible by 8?
  9. 9.Is 10044 divisible by 9?
  10. 10.Is 8739 divisible by 6?
  11. 11.Is 26782 divisible by 15?
  12. 12.Is 2990 divisible by 10?
  13. 13.Is 40795 divisible by 15?
  14. 14.Is 39618 divisible by 9?
  15. 15.Is 158570 divisible by 23?
  16. 16.Is 82760 divisible by 12?
  17. 17.Is 29373 divisible by 7?
  18. 18.Is 16290 divisible by 5?
  19. 19.Is 148886 divisible by 29?
  20. 20.Is 4956 divisible by 7?
  21. 21.Is 19159 divisible by 17?
  22. 22.Is 49048 divisible by 11?
  23. 23.Is 67831 divisible by 19?
  24. 24.Is 56672 divisible by 23?
  25. 25.Is 57574 divisible by 10?
  26. 26.Is 7890 divisible by 13?
  27. 27.Is 46950 divisible by 10?
  28. 28.Is 55384 divisible by 15?
  29. 29.Is 56434 divisible by 29?
  30. 30.Is 13915 divisible by 11?
  31. 31.Is 148500 divisible by 23?
  32. 32.Is 83655 divisible by 13?
  33. 33.Is 17823 divisible by 3?
  34. 34.Is 68731 divisible by 13?
  35. 35.Is 50994 divisible by 18?
  36. 36.Is 44455 divisible by 17?
  37. 37.Is 190859 divisible by 29?
  38. 38.Is 48008 divisible by 17?
  39. 39.Is 1756 divisible by 13?
  40. 40.Is 400 divisible by 13?

Answer key

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

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