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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 327 · 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 11232 divisible by 12?
  2. 2.Is 3114 divisible by 3?
  3. 3.Is 19680 divisible by 10?
  4. 4.Is 63650 divisible by 10?
  5. 5.Is 42430 divisible by 15?
  6. 6.Is 18948 divisible by 6?
  7. 7.Is 43036 divisible by 7?
  8. 8.Is 33334 divisible by 5?
  9. 9.Is 4377 divisible by 5?
  10. 10.Is 3468 divisible by 3?
  11. 11.Is 23018 divisible by 17?
  12. 12.Is 18885 divisible by 4?
  13. 13.Is 2354 divisible by 17?
  14. 14.Is 73567 divisible by 24?
  15. 15.Is 13717 divisible by 5?
  16. 16.Is 18915 divisible by 5?
  17. 17.Is 12000 divisible by 3?
  18. 18.Is 76785 divisible by 29?
  19. 19.Is 27278 divisible by 23?
  20. 20.Is 27047 divisible by 13?
  21. 21.Is 101064 divisible by 29?
  22. 22.Is 7638 divisible by 6?
  23. 23.Is 3370 divisible by 2?
  24. 24.Is 28828 divisible by 9?
  25. 25.Is 3668 divisible by 13?
  26. 26.Is 78912 divisible by 12?
  27. 27.Is 111606 divisible by 19?
  28. 28.Is 58714 divisible by 23?
  29. 29.Is 159882 divisible by 23?
  30. 30.Is 116426 divisible by 23?
  31. 31.Is 61008 divisible by 10?
  32. 32.Is 102433 divisible by 18?
  33. 33.Is 25200 divisible by 4?
  34. 34.Is 22115 divisible by 5?
  35. 35.Is 85086 divisible by 18?
  36. 36.Is 10025 divisible by 2?
  37. 37.Is 56068 divisible by 11?
  38. 38.Is 92436 divisible by 19?
  39. 39.Is 16224 divisible by 12?
  40. 40.Is 11132 divisible by 2?

Answer key

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

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