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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 129 · 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 16886 divisible by 8?
  2. 2.Is 8667 divisible by 3?
  3. 3.Is 2133 divisible by 10?
  4. 4.Is 31326 divisible by 23?
  5. 5.Is 82316 divisible by 15?
  6. 6.Is 76520 divisible by 20?
  7. 7.Is 77700 divisible by 15?
  8. 8.Is 12091 divisible by 3?
  9. 9.Is 7477 divisible by 2?
  10. 10.Is 32832 divisible by 8?
  11. 11.Is 3815 divisible by 2?
  12. 12.Is 6825 divisible by 7?
  13. 13.Is 39251 divisible by 15?
  14. 14.Is 65139 divisible by 19?
  15. 15.Is 146736 divisible by 24?
  16. 16.Is 3608 divisible by 8?
  17. 17.Is 39777 divisible by 19?
  18. 18.Is 33694 divisible by 17?
  19. 19.Is 109727 divisible by 19?
  20. 20.Is 28188 divisible by 15?
  21. 21.Is 17566 divisible by 3?
  22. 22.Is 2040 divisible by 4?
  23. 23.Is 28979 divisible by 13?
  24. 24.Is 38395 divisible by 17?
  25. 25.Is 29259 divisible by 5?
  26. 26.Is 10778 divisible by 17?
  27. 27.Is 50286 divisible by 13?
  28. 28.Is 27428 divisible by 8?
  29. 29.Is 188689 divisible by 30?
  30. 30.Is 25240 divisible by 10?
  31. 31.Is 948 divisible by 4?
  32. 32.Is 2610 divisible by 6?
  33. 33.Is 47200 divisible by 20?
  34. 34.Is 39224 divisible by 8?
  35. 35.Is 69395 divisible by 12?
  36. 36.Is 13678 divisible by 2?
  37. 37.Is 48583 divisible by 10?
  38. 38.Is 19863 divisible by 6?
  39. 39.Is 102632 divisible by 15?
  40. 40.Is 76036 divisible by 11?

Answer key

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

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