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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 5 · 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 86957 divisible by 13?
  2. 2.Is 28357 divisible by 6?
  3. 3.Is 13113 divisible by 3?
  4. 4.Is 50873 divisible by 30?
  5. 5.Is 40832 divisible by 23?
  6. 6.Is 11680 divisible by 29?
  7. 7.Is 61654 divisible by 29?
  8. 8.Is 6644 divisible by 11?
  9. 9.Is 122364 divisible by 30?
  10. 10.Is 57252 divisible by 12?
  11. 11.Is 10714 divisible by 2?
  12. 12.Is 113373 divisible by 19?
  13. 13.Is 21890 divisible by 24?
  14. 14.Is 119332 divisible by 24?
  15. 15.Is 34510 divisible by 6?
  16. 16.Is 3735 divisible by 3?
  17. 17.Is 4296 divisible by 12?
  18. 18.Is 23680 divisible by 10?
  19. 19.Is 3754 divisible by 7?
  20. 20.Is 26885 divisible by 10?
  21. 21.Is 27132 divisible by 6?
  22. 22.Is 8071 divisible by 7?
  23. 23.Is 18920 divisible by 4?
  24. 24.Is 5855 divisible by 2?
  25. 25.Is 24909 divisible by 23?
  26. 26.Is 100567 divisible by 18?
  27. 27.Is 8249 divisible by 8?
  28. 28.Is 41040 divisible by 8?
  29. 29.Is 5158 divisible by 3?
  30. 30.Is 99771 divisible by 29?
  31. 31.Is 38541 divisible by 6?
  32. 32.Is 84570 divisible by 30?
  33. 33.Is 17128 divisible by 5?
  34. 34.Is 17816 divisible by 5?
  35. 35.Is 202076 divisible by 30?
  36. 36.Is 4165 divisible by 3?
  37. 37.Is 21864 divisible by 24?
  38. 38.Is 13311 divisible by 12?
  39. 39.Is 16170 divisible by 7?
  40. 40.Is 8797 divisible by 2?

Answer key

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

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