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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 182 · 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 20476 divisible by 4?
  2. 2.Is 3980 divisible by 24?
  3. 3.Is 1787 divisible by 2?
  4. 4.Is 73890 divisible by 18?
  5. 5.Is 49896 divisible by 8?
  6. 6.Is 35623 divisible by 7?
  7. 7.Is 28211 divisible by 11?
  8. 8.Is 6485 divisible by 5?
  9. 9.Is 17855 divisible by 5?
  10. 10.Is 28479 divisible by 6?
  11. 11.Is 72616 divisible by 29?
  12. 12.Is 103728 divisible by 24?
  13. 13.Is 86413 divisible by 24?
  14. 14.Is 41635 divisible by 29?
  15. 15.Is 7725 divisible by 2?
  16. 16.Is 4136 divisible by 2?
  17. 17.Is 23482 divisible by 4?
  18. 18.Is 3388 divisible by 8?
  19. 19.Is 100373 divisible by 19?
  20. 20.Is 8652 divisible by 15?
  21. 21.Is 52170 divisible by 30?
  22. 22.Is 34067 divisible by 13?
  23. 23.Is 4908 divisible by 3?
  24. 24.Is 13432 divisible by 9?
  25. 25.Is 11484 divisible by 18?
  26. 26.Is 47360 divisible by 20?
  27. 27.Is 3098 divisible by 2?
  28. 28.Is 10738 divisible by 3?
  29. 29.Is 61982 divisible by 17?
  30. 30.Is 17924 divisible by 5?
  31. 31.Is 26964 divisible by 6?
  32. 32.Is 85138 divisible by 15?
  33. 33.Is 32400 divisible by 12?
  34. 34.Is 16126 divisible by 7?
  35. 35.Is 27360 divisible by 15?
  36. 36.Is 58618 divisible by 15?
  37. 37.Is 82846 divisible by 24?
  38. 38.Is 69494 divisible by 23?
  39. 39.Is 2679 divisible by 2?
  40. 40.Is 94418 divisible by 17?

Answer key

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

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