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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 876 · 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 15186 divisible by 3?
  2. 2.Is 3288 divisible by 3?
  3. 3.Is 165780 divisible by 24?
  4. 4.Is 51874 divisible by 24?
  5. 5.Is 22003 divisible by 5?
  6. 6.Is 23491 divisible by 13?
  7. 7.Is 184846 divisible by 29?
  8. 8.Is 18936 divisible by 24?
  9. 9.Is 27230 divisible by 5?
  10. 10.Is 49349 divisible by 8?
  11. 11.Is 34485 divisible by 5?
  12. 12.Is 35924 divisible by 7?
  13. 13.Is 60487 divisible by 13?
  14. 14.Is 70440 divisible by 15?
  15. 15.Is 79795 divisible by 23?
  16. 16.Is 5266 divisible by 2?
  17. 17.Is 65350 divisible by 10?
  18. 18.Is 12691 divisible by 2?
  19. 19.Is 18252 divisible by 13?
  20. 20.Is 51688 divisible by 19?
  21. 21.Is 91303 divisible by 23?
  22. 22.Is 82140 divisible by 30?
  23. 23.Is 87828 divisible by 15?
  24. 24.Is 13540 divisible by 4?
  25. 25.Is 61186 divisible by 9?
  26. 26.Is 22939 divisible by 7?
  27. 27.Is 53670 divisible by 15?
  28. 28.Is 40490 divisible by 9?
  29. 29.Is 126067 divisible by 19?
  30. 30.Is 19350 divisible by 15?
  31. 31.Is 23442 divisible by 6?
  32. 32.Is 30038 divisible by 7?
  33. 33.Is 35432 divisible by 8?
  34. 34.Is 10236 divisible by 6?
  35. 35.Is 28584 divisible by 12?
  36. 36.Is 117960 divisible by 24?
  37. 37.Is 65443 divisible by 19?
  38. 38.Is 68709 divisible by 29?
  39. 39.Is 415 divisible by 24?
  40. 40.Is 39192 divisible by 10?

Answer key

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

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