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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 528 · 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 12963 divisible by 8?
  2. 2.Is 6512 divisible by 2?
  3. 3.Is 41010 divisible by 11?
  4. 4.Is 14867 divisible by 3?
  5. 5.Is 19180 divisible by 7?
  6. 6.Is 54970 divisible by 8?
  7. 7.Is 6571 divisible by 3?
  8. 8.Is 132116 divisible by 19?
  9. 9.Is 49950 divisible by 9?
  10. 10.Is 50990 divisible by 30?
  11. 11.Is 39974 divisible by 6?
  12. 12.Is 6497 divisible by 8?
  13. 13.Is 17028 divisible by 11?
  14. 14.Is 13058 divisible by 2?
  15. 15.Is 10059 divisible by 4?
  16. 16.Is 26893 divisible by 6?
  17. 17.Is 71880 divisible by 13?
  18. 18.Is 21676 divisible by 29?
  19. 19.Is 52680 divisible by 15?
  20. 20.Is 40890 divisible by 6?
  21. 21.Is 12243 divisible by 3?
  22. 22.Is 16178 divisible by 17?
  23. 23.Is 62328 divisible by 12?
  24. 24.Is 14377 divisible by 6?
  25. 25.Is 75243 divisible by 23?
  26. 26.Is 140093 divisible by 23?
  27. 27.Is 51068 divisible by 8?
  28. 28.Is 139448 divisible by 23?
  29. 29.Is 52898 divisible by 9?
  30. 30.Is 85511 divisible by 20?
  31. 31.Is 26824 divisible by 7?
  32. 32.Is 52008 divisible by 24?
  33. 33.Is 117030 divisible by 30?
  34. 34.Is 1359 divisible by 3?
  35. 35.Is 20482 divisible by 11?
  36. 36.Is 2970 divisible by 3?
  37. 37.Is 28764 divisible by 12?
  38. 38.Is 112846 divisible by 17?
  39. 39.Is 86632 divisible by 13?
  40. 40.Is 99414 divisible by 30?

Answer key

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

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