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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 191 · 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 16671 divisible by 5?
  2. 2.Is 6166 divisible by 9?
  3. 3.Is 41130 divisible by 30?
  4. 4.Is 14543 divisible by 3?
  5. 5.Is 68756 divisible by 13?
  6. 6.Is 72684 divisible by 18?
  7. 7.Is 4855 divisible by 6?
  8. 8.Is 18458 divisible by 11?
  9. 9.Is 21890 divisible by 10?
  10. 10.Is 24122 divisible by 7?
  11. 11.Is 10928 divisible by 5?
  12. 12.Is 28860 divisible by 6?
  13. 13.Is 52337 divisible by 9?
  14. 14.Is 38286 divisible by 18?
  15. 15.Is 14460 divisible by 15?
  16. 16.Is 41032 divisible by 7?
  17. 17.Is 138927 divisible by 23?
  18. 18.Is 67703 divisible by 20?
  19. 19.Is 26486 divisible by 19?
  20. 20.Is 27061 divisible by 4?
  21. 21.Is 14964 divisible by 4?
  22. 22.Is 10012 divisible by 2?
  23. 23.Is 78760 divisible by 20?
  24. 24.Is 8529 divisible by 20?
  25. 25.Is 33631 divisible by 18?
  26. 26.Is 36088 divisible by 11?
  27. 27.Is 17470 divisible by 7?
  28. 28.Is 7443 divisible by 4?
  29. 29.Is 22185 divisible by 6?
  30. 30.Is 56557 divisible by 23?
  31. 31.Is 11786 divisible by 12?
  32. 32.Is 4382 divisible by 4?
  33. 33.Is 49427 divisible by 23?
  34. 34.Is 1190 divisible by 4?
  35. 35.Is 68697 divisible by 15?
  36. 36.Is 266 divisible by 3?
  37. 37.Is 1661 divisible by 24?
  38. 38.Is 75744 divisible by 11?
  39. 39.Is 59868 divisible by 23?
  40. 40.Is 23310 divisible by 12?

Answer key

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

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