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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 714 · 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 22196 divisible by 24?
  2. 2.Is 12525 divisible by 2?
  3. 3.Is 66857 divisible by 10?
  4. 4.Is 12074 divisible by 4?
  5. 5.Is 548 divisible by 3?
  6. 6.Is 59602 divisible by 9?
  7. 7.Is 4942 divisible by 13?
  8. 8.Is 48146 divisible by 7?
  9. 9.Is 36614 divisible by 8?
  10. 10.Is 105150 divisible by 30?
  11. 11.Is 45447 divisible by 19?
  12. 12.Is 34099 divisible by 6?
  13. 13.Is 44638 divisible by 11?
  14. 14.Is 12397 divisible by 11?
  15. 15.Is 1847 divisible by 2?
  16. 16.Is 48945 divisible by 24?
  17. 17.Is 11030 divisible by 13?
  18. 18.Is 42124 divisible by 24?
  19. 19.Is 55961 divisible by 17?
  20. 20.Is 113456 divisible by 18?
  21. 21.Is 169766 divisible by 29?
  22. 22.Is 32572 divisible by 30?
  23. 23.Is 6870 divisible by 10?
  24. 24.Is 30107 divisible by 7?
  25. 25.Is 161617 divisible by 29?
  26. 26.Is 38899 divisible by 8?
  27. 27.Is 26832 divisible by 19?
  28. 28.Is 137104 divisible by 24?
  29. 29.Is 3555 divisible by 3?
  30. 30.Is 46366 divisible by 12?
  31. 31.Is 84705 divisible by 15?
  32. 32.Is 13108 divisible by 17?
  33. 33.Is 8768 divisible by 23?
  34. 34.Is 44289 divisible by 9?
  35. 35.Is 10504 divisible by 4?
  36. 36.Is 53224 divisible by 8?
  37. 37.Is 109204 divisible by 23?
  38. 38.Is 83244 divisible by 18?
  39. 39.Is 13858 divisible by 18?
  40. 40.Is 96854 divisible by 23?

Answer key

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

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