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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 279 · 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 16839 divisible by 29?
  2. 2.Is 59472 divisible by 9?
  3. 3.Is 16733 divisible by 29?
  4. 4.Is 189140 divisible by 30?
  5. 5.Is 1155 divisible by 2?
  6. 6.Is 44082 divisible by 8?
  7. 7.Is 72536 divisible by 15?
  8. 8.Is 30192 divisible by 17?
  9. 9.Is 51073 divisible by 11?
  10. 10.Is 52404 divisible by 12?
  11. 11.Is 1316 divisible by 6?
  12. 12.Is 25564 divisible by 4?
  13. 13.Is 9583 divisible by 2?
  14. 14.Is 21294 divisible by 9?
  15. 15.Is 3865 divisible by 6?
  16. 16.Is 32697 divisible by 11?
  17. 17.Is 47745 divisible by 13?
  18. 18.Is 35079 divisible by 23?
  19. 19.Is 42054 divisible by 9?
  20. 20.Is 168138 divisible by 29?
  21. 21.Is 28278 divisible by 6?
  22. 22.Is 14558 divisible by 3?
  23. 23.Is 52908 divisible by 12?
  24. 24.Is 75104 divisible by 13?
  25. 25.Is 56043 divisible by 13?
  26. 26.Is 103293 divisible by 23?
  27. 27.Is 54206 divisible by 20?
  28. 28.Is 14678 divisible by 10?
  29. 29.Is 37021 divisible by 11?
  30. 30.Is 134212 divisible by 20?
  31. 31.Is 29388 divisible by 5?
  32. 32.Is 43913 divisible by 20?
  33. 33.Is 46615 divisible by 7?
  34. 34.Is 62701 divisible by 11?
  35. 35.Is 23801 divisible by 29?
  36. 36.Is 52320 divisible by 8?
  37. 37.Is 186887 divisible by 29?
  38. 38.Is 5778 divisible by 3?
  39. 39.Is 55016 divisible by 23?
  40. 40.Is 21024 divisible by 24?

Answer key

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

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