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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 157 · 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 47513 divisible by 8?
  2. 2.Is 19972 divisible by 29?
  3. 3.Is 8569 divisible by 19?
  4. 4.Is 59247 divisible by 29?
  5. 5.Is 73572 divisible by 12?
  6. 6.Is 9752 divisible by 23?
  7. 7.Is 61450 divisible by 10?
  8. 8.Is 8352 divisible by 3?
  9. 9.Is 151250 divisible by 24?
  10. 10.Is 86860 divisible by 20?
  11. 11.Is 195392 divisible by 29?
  12. 12.Is 33568 divisible by 8?
  13. 13.Is 1864 divisible by 8?
  14. 14.Is 36198 divisible by 18?
  15. 15.Is 74868 divisible by 17?
  16. 16.Is 8451 divisible by 9?
  17. 17.Is 30522 divisible by 6?
  18. 18.Is 43506 divisible by 13?
  19. 19.Is 32436 divisible by 6?
  20. 20.Is 13374 divisible by 3?
  21. 21.Is 6409 divisible by 17?
  22. 22.Is 93611 divisible by 18?
  23. 23.Is 3750 divisible by 3?
  24. 24.Is 26282 divisible by 17?
  25. 25.Is 41159 divisible by 12?
  26. 26.Is 101478 divisible by 15?
  27. 27.Is 11270 divisible by 13?
  28. 28.Is 3780 divisible by 9?
  29. 29.Is 17821 divisible by 3?
  30. 30.Is 31834 divisible by 11?
  31. 31.Is 6972 divisible by 12?
  32. 32.Is 49703 divisible by 23?
  33. 33.Is 12325 divisible by 13?
  34. 34.Is 13833 divisible by 5?
  35. 35.Is 46504 divisible by 8?
  36. 36.Is 10253 divisible by 2?
  37. 37.Is 5645 divisible by 20?
  38. 38.Is 113652 divisible by 18?
  39. 39.Is 12454 divisible by 3?
  40. 40.Is 28920 divisible by 20?

Answer key

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

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