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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 133 · 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 29328 divisible by 12?
  2. 2.Is 71650 divisible by 13?
  3. 3.Is 4220 divisible by 4?
  4. 4.Is 50357 divisible by 15?
  5. 5.Is 8944 divisible by 5?
  6. 6.Is 27927 divisible by 29?
  7. 7.Is 11544 divisible by 3?
  8. 8.Is 72661 divisible by 24?
  9. 9.Is 98904 divisible by 24?
  10. 10.Is 14961 divisible by 5?
  11. 11.Is 49239 divisible by 9?
  12. 12.Is 71869 divisible by 12?
  13. 13.Is 8624 divisible by 8?
  14. 14.Is 990 divisible by 18?
  15. 15.Is 32943 divisible by 5?
  16. 16.Is 4408 divisible by 18?
  17. 17.Is 368 divisible by 2?
  18. 18.Is 37009 divisible by 9?
  19. 19.Is 135795 divisible by 23?
  20. 20.Is 42700 divisible by 7?
  21. 21.Is 17779 divisible by 19?
  22. 22.Is 48415 divisible by 12?
  23. 23.Is 125113 divisible by 19?
  24. 24.Is 81139 divisible by 18?
  25. 25.Is 23395 divisible by 5?
  26. 26.Is 65632 divisible by 17?
  27. 27.Is 4246 divisible by 5?
  28. 28.Is 39721 divisible by 23?
  29. 29.Is 40216 divisible by 8?
  30. 30.Is 51936 divisible by 12?
  31. 31.Is 76057 divisible by 19?
  32. 32.Is 32054 divisible by 13?
  33. 33.Is 10346 divisible by 6?
  34. 34.Is 8921 divisible by 2?
  35. 35.Is 27634 divisible by 11?
  36. 36.Is 10433 divisible by 4?
  37. 37.Is 492 divisible by 7?
  38. 38.Is 695 divisible by 11?
  39. 39.Is 26529 divisible by 5?
  40. 40.Is 27294 divisible by 6?

Answer key

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

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