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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 74 · 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 24696 divisible by 24?
  2. 2.Is 38094 divisible by 8?
  3. 3.Is 16487 divisible by 29?
  4. 4.Is 139684 divisible by 24?
  5. 5.Is 23136 divisible by 6?
  6. 6.Is 68070 divisible by 10?
  7. 7.Is 117440 divisible by 20?
  8. 8.Is 54889 divisible by 9?
  9. 9.Is 166620 divisible by 30?
  10. 10.Is 24795 divisible by 29?
  11. 11.Is 9863 divisible by 7?
  12. 12.Is 56327 divisible by 23?
  13. 13.Is 1708 divisible by 2?
  14. 14.Is 116978 divisible by 17?
  15. 15.Is 120692 divisible by 30?
  16. 16.Is 26760 divisible by 30?
  17. 17.Is 7126 divisible by 12?
  18. 18.Is 884 divisible by 15?
  19. 19.Is 101839 divisible by 18?
  20. 20.Is 3114 divisible by 6?
  21. 21.Is 55760 divisible by 20?
  22. 22.Is 52632 divisible by 8?
  23. 23.Is 181749 divisible by 29?
  24. 24.Is 77842 divisible by 30?
  25. 25.Is 32629 divisible by 15?
  26. 26.Is 17620 divisible by 3?
  27. 27.Is 68497 divisible by 11?
  28. 28.Is 3035 divisible by 2?
  29. 29.Is 38101 divisible by 10?
  30. 30.Is 95642 divisible by 17?
  31. 31.Is 75106 divisible by 15?
  32. 32.Is 68895 divisible by 15?
  33. 33.Is 73485 divisible by 11?
  34. 34.Is 78557 divisible by 17?
  35. 35.Is 89901 divisible by 17?
  36. 36.Is 31122 divisible by 19?
  37. 37.Is 145800 divisible by 30?
  38. 38.Is 161970 divisible by 30?
  39. 39.Is 130008 divisible by 24?
  40. 40.Is 21176 divisible by 4?

Answer key

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

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