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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 32 · 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 10823 divisible by 6?
  2. 2.Is 10600 divisible by 10?
  3. 3.Is 129981 divisible by 19?
  4. 4.Is 16720 divisible by 20?
  5. 5.Is 24504 divisible by 24?
  6. 6.Is 74867 divisible by 13?
  7. 7.Is 3081 divisible by 4?
  8. 8.Is 33371 divisible by 7?
  9. 9.Is 126472 divisible by 23?
  10. 10.Is 44322 divisible by 23?
  11. 11.Is 5377 divisible by 7?
  12. 12.Is 20772 divisible by 9?
  13. 13.Is 29176 divisible by 7?
  14. 14.Is 5277 divisible by 3?
  15. 15.Is 95394 divisible by 30?
  16. 16.Is 3092 divisible by 2?
  17. 17.Is 15732 divisible by 6?
  18. 18.Is 62880 divisible by 30?
  19. 19.Is 38338 divisible by 29?
  20. 20.Is 2562 divisible by 6?
  21. 21.Is 49158 divisible by 8?
  22. 22.Is 147262 divisible by 24?
  23. 23.Is 83421 divisible by 23?
  24. 24.Is 4326 divisible by 7?
  25. 25.Is 19060 divisible by 20?
  26. 26.Is 9455 divisible by 4?
  27. 27.Is 43320 divisible by 8?
  28. 28.Is 8181 divisible by 9?
  29. 29.Is 416 divisible by 2?
  30. 30.Is 50800 divisible by 18?
  31. 31.Is 26883 divisible by 29?
  32. 32.Is 144021 divisible by 23?
  33. 33.Is 87754 divisible by 29?
  34. 34.Is 12312 divisible by 9?
  35. 35.Is 76440 divisible by 13?
  36. 36.Is 12900 divisible by 3?
  37. 37.Is 1311 divisible by 29?
  38. 38.Is 1830 divisible by 10?
  39. 39.Is 10033 divisible by 13?
  40. 40.Is 20336 divisible by 4?

Answer key

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

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