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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 192 · 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 42508 divisible by 11?
  2. 2.Is 27319 divisible by 5?
  3. 3.Is 127349 divisible by 29?
  4. 4.Is 74541 divisible by 29?
  5. 5.Is 7907 divisible by 3?
  6. 6.Is 126942 divisible by 23?
  7. 7.Is 35090 divisible by 9?
  8. 8.Is 97104 divisible by 24?
  9. 9.Is 82452 divisible by 12?
  10. 10.Is 2040 divisible by 24?
  11. 11.Is 29484 divisible by 6?
  12. 12.Is 46767 divisible by 18?
  13. 13.Is 70135 divisible by 13?
  14. 14.Is 1120 divisible by 24?
  15. 15.Is 3034 divisible by 15?
  16. 16.Is 25086 divisible by 6?
  17. 17.Is 29445 divisible by 15?
  18. 18.Is 10917 divisible by 2?
  19. 19.Is 3941 divisible by 4?
  20. 20.Is 106880 divisible by 20?
  21. 21.Is 27024 divisible by 11?
  22. 22.Is 10848 divisible by 4?
  23. 23.Is 19914 divisible by 3?
  24. 24.Is 110312 divisible by 20?
  25. 25.Is 43679 divisible by 18?
  26. 26.Is 16202 divisible by 6?
  27. 27.Is 53375 divisible by 12?
  28. 28.Is 63036 divisible by 18?
  29. 29.Is 113328 divisible by 18?
  30. 30.Is 20628 divisible by 10?
  31. 31.Is 103740 divisible by 19?
  32. 32.Is 65669 divisible by 17?
  33. 33.Is 70881 divisible by 20?
  34. 34.Is 13780 divisible by 10?
  35. 35.Is 8388 divisible by 3?
  36. 36.Is 12753 divisible by 3?
  37. 37.Is 72795 divisible by 15?
  38. 38.Is 3372 divisible by 5?
  39. 39.Is 167202 divisible by 24?
  40. 40.Is 64307 divisible by 24?

Answer key

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

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