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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 803 · 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 4128 divisible by 12?
  2. 2.Is 80222 divisible by 17?
  3. 3.Is 2500 divisible by 3?
  4. 4.Is 38038 divisible by 7?
  5. 5.Is 5534 divisible by 3?
  6. 6.Is 19477 divisible by 3?
  7. 7.Is 10660 divisible by 18?
  8. 8.Is 62403 divisible by 11?
  9. 9.Is 13719 divisible by 2?
  10. 10.Is 47856 divisible by 24?
  11. 11.Is 89709 divisible by 17?
  12. 12.Is 23580 divisible by 12?
  13. 13.Is 36113 divisible by 7?
  14. 14.Is 4738 divisible by 5?
  15. 15.Is 25470 divisible by 30?
  16. 16.Is 11529 divisible by 7?
  17. 17.Is 2001 divisible by 3?
  18. 18.Is 53069 divisible by 8?
  19. 19.Is 11445 divisible by 7?
  20. 20.Is 6071 divisible by 2?
  21. 21.Is 18251 divisible by 3?
  22. 22.Is 12119 divisible by 4?
  23. 23.Is 86262 divisible by 23?
  24. 24.Is 12296 divisible by 2?
  25. 25.Is 13075 divisible by 6?
  26. 26.Is 14081 divisible by 4?
  27. 27.Is 32888 divisible by 18?
  28. 28.Is 15697 divisible by 30?
  29. 29.Is 12834 divisible by 5?
  30. 30.Is 73025 divisible by 23?
  31. 31.Is 4466 divisible by 4?
  32. 32.Is 3989 divisible by 12?
  33. 33.Is 64949 divisible by 19?
  34. 34.Is 12411 divisible by 3?
  35. 35.Is 13661 divisible by 7?
  36. 36.Is 218 divisible by 6?
  37. 37.Is 32300 divisible by 13?
  38. 38.Is 25467 divisible by 13?
  39. 39.Is 53108 divisible by 11?
  40. 40.Is 13100 divisible by 5?

Answer key

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

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