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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 695 · 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 25952 divisible by 4?
  2. 2.Is 34128 divisible by 18?
  3. 3.Is 33187 divisible by 11?
  4. 4.Is 4634 divisible by 2?
  5. 5.Is 37598 divisible by 11?
  6. 6.Is 13930 divisible by 6?
  7. 7.Is 32886 divisible by 29?
  8. 8.Is 117827 divisible by 29?
  9. 9.Is 260 divisible by 13?
  10. 10.Is 11520 divisible by 5?
  11. 11.Is 19702 divisible by 17?
  12. 12.Is 1333 divisible by 3?
  13. 13.Is 116935 divisible by 29?
  14. 14.Is 113373 divisible by 19?
  15. 15.Is 2936 divisible by 12?
  16. 16.Is 17727 divisible by 6?
  17. 17.Is 24016 divisible by 19?
  18. 18.Is 2868 divisible by 7?
  19. 19.Is 44854 divisible by 9?
  20. 20.Is 93176 divisible by 19?
  21. 21.Is 71117 divisible by 12?
  22. 22.Is 26859 divisible by 13?
  23. 23.Is 57061 divisible by 12?
  24. 24.Is 79699 divisible by 24?
  25. 25.Is 24715 divisible by 5?
  26. 26.Is 167377 divisible by 30?
  27. 27.Is 50947 divisible by 13?
  28. 28.Is 12512 divisible by 3?
  29. 29.Is 141243 divisible by 23?
  30. 30.Is 84824 divisible by 19?
  31. 31.Is 132386 divisible by 19?
  32. 32.Is 124883 divisible by 23?
  33. 33.Is 36271 divisible by 19?
  34. 34.Is 2238 divisible by 3?
  35. 35.Is 92543 divisible by 20?
  36. 36.Is 17773 divisible by 3?
  37. 37.Is 47397 divisible by 10?
  38. 38.Is 106018 divisible by 19?
  39. 39.Is 28511 divisible by 5?
  40. 40.Is 48727 divisible by 11?

Answer key

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

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