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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 254 · 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 5741 divisible by 5?
  2. 2.Is 47764 divisible by 13?
  3. 3.Is 11979 divisible by 11?
  4. 4.Is 204 divisible by 2?
  5. 5.Is 137776 divisible by 23?
  6. 6.Is 43585 divisible by 17?
  7. 7.Is 129059 divisible by 19?
  8. 8.Is 105453 divisible by 24?
  9. 9.Is 98022 divisible by 17?
  10. 10.Is 57652 divisible by 29?
  11. 11.Is 11918 divisible by 17?
  12. 12.Is 10671 divisible by 10?
  13. 13.Is 159 divisible by 2?
  14. 14.Is 103153 divisible by 29?
  15. 15.Is 6337 divisible by 12?
  16. 16.Is 11086 divisible by 23?
  17. 17.Is 48916 divisible by 7?
  18. 18.Is 80120 divisible by 20?
  19. 19.Is 27781 divisible by 17?
  20. 20.Is 50152 divisible by 8?
  21. 21.Is 29544 divisible by 24?
  22. 22.Is 94513 divisible by 23?
  23. 23.Is 102293 divisible by 18?
  24. 24.Is 11335 divisible by 3?
  25. 25.Is 144652 divisible by 29?
  26. 26.Is 6216 divisible by 4?
  27. 27.Is 43108 divisible by 13?
  28. 28.Is 92780 divisible by 20?
  29. 29.Is 91153 divisible by 29?
  30. 30.Is 106859 divisible by 29?
  31. 31.Is 3868 divisible by 9?
  32. 32.Is 2763 divisible by 12?
  33. 33.Is 22140 divisible by 13?
  34. 34.Is 57208 divisible by 11?
  35. 35.Is 58185 divisible by 15?
  36. 36.Is 10970 divisible by 13?
  37. 37.Is 19995 divisible by 7?
  38. 38.Is 7205 divisible by 5?
  39. 39.Is 77457 divisible by 18?
  40. 40.Is 71801 divisible by 19?

Answer key

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

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