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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 808 · 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 13590 divisible by 10?
  2. 2.Is 61452 divisible by 12?
  3. 3.Is 3092 divisible by 11?
  4. 4.Is 71419 divisible by 18?
  5. 5.Is 342 divisible by 3?
  6. 6.Is 96274 divisible by 29?
  7. 7.Is 75230 divisible by 12?
  8. 8.Is 35500 divisible by 6?
  9. 9.Is 1241 divisible by 6?
  10. 10.Is 125156 divisible by 24?
  11. 11.Is 34884 divisible by 9?
  12. 12.Is 28314 divisible by 9?
  13. 13.Is 35785 divisible by 17?
  14. 14.Is 79830 divisible by 30?
  15. 15.Is 60342 divisible by 20?
  16. 16.Is 23740 divisible by 11?
  17. 17.Is 38142 divisible by 24?
  18. 18.Is 828 divisible by 18?
  19. 19.Is 44027 divisible by 17?
  20. 20.Is 107404 divisible by 24?
  21. 21.Is 146642 divisible by 24?
  22. 22.Is 29236 divisible by 11?
  23. 23.Is 37353 divisible by 23?
  24. 24.Is 63780 divisible by 30?
  25. 25.Is 98496 divisible by 24?
  26. 26.Is 143750 divisible by 30?
  27. 27.Is 10160 divisible by 8?
  28. 28.Is 31597 divisible by 19?
  29. 29.Is 58450 divisible by 10?
  30. 30.Is 44316 divisible by 12?
  31. 31.Is 41940 divisible by 11?
  32. 32.Is 50326 divisible by 17?
  33. 33.Is 103301 divisible by 15?
  34. 34.Is 603 divisible by 10?
  35. 35.Is 13016 divisible by 11?
  36. 36.Is 19628 divisible by 3?
  37. 37.Is 13944 divisible by 3?
  38. 38.Is 23772 divisible by 8?
  39. 39.Is 110542 divisible by 19?
  40. 40.Is 131858 divisible by 29?

Answer key

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

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