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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 606 · 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 10434 divisible by 6?
  2. 2.Is 54735 divisible by 17?
  3. 3.Is 11794 divisible by 3?
  4. 4.Is 16005 divisible by 11?
  5. 5.Is 45320 divisible by 9?
  6. 6.Is 66744 divisible by 24?
  7. 7.Is 69652 divisible by 13?
  8. 8.Is 11829 divisible by 6?
  9. 9.Is 110183 divisible by 17?
  10. 10.Is 27677 divisible by 4?
  11. 11.Is 44981 divisible by 20?
  12. 12.Is 28556 divisible by 8?
  13. 13.Is 45361 divisible by 20?
  14. 14.Is 30943 divisible by 29?
  15. 15.Is 43060 divisible by 18?
  16. 16.Is 10598 divisible by 2?
  17. 17.Is 2030 divisible by 2?
  18. 18.Is 5610 divisible by 30?
  19. 19.Is 69352 divisible by 12?
  20. 20.Is 100740 divisible by 20?
  21. 21.Is 13934 divisible by 18?
  22. 22.Is 45356 divisible by 17?
  23. 23.Is 80622 divisible by 18?
  24. 24.Is 10062 divisible by 18?
  25. 25.Is 68718 divisible by 24?
  26. 26.Is 44718 divisible by 29?
  27. 27.Is 7829 divisible by 2?
  28. 28.Is 6292 divisible by 2?
  29. 29.Is 23517 divisible by 4?
  30. 30.Is 58804 divisible by 11?
  31. 31.Is 21504 divisible by 24?
  32. 32.Is 37009 divisible by 9?
  33. 33.Is 27573 divisible by 18?
  34. 34.Is 93919 divisible by 29?
  35. 35.Is 67595 divisible by 11?
  36. 36.Is 206093 divisible by 30?
  37. 37.Is 10760 divisible by 10?
  38. 38.Is 5292 divisible by 12?
  39. 39.Is 1219 divisible by 2?
  40. 40.Is 43823 divisible by 13?

Answer key

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

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