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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 252 · 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 30344 divisible by 5?
  2. 2.Is 58109 divisible by 9?
  3. 3.Is 13482 divisible by 6?
  4. 4.Is 40340 divisible by 13?
  5. 5.Is 42720 divisible by 9?
  6. 6.Is 539 divisible by 2?
  7. 7.Is 50960 divisible by 29?
  8. 8.Is 15724 divisible by 4?
  9. 9.Is 59355 divisible by 9?
  10. 10.Is 27236 divisible by 11?
  11. 11.Is 15435 divisible by 9?
  12. 12.Is 13923 divisible by 9?
  13. 13.Is 75678 divisible by 15?
  14. 14.Is 15293 divisible by 3?
  15. 15.Is 117930 divisible by 30?
  16. 16.Is 19211 divisible by 5?
  17. 17.Is 24558 divisible by 6?
  18. 18.Is 11569 divisible by 6?
  19. 19.Is 24173 divisible by 6?
  20. 20.Is 35093 divisible by 17?
  21. 21.Is 4016 divisible by 29?
  22. 22.Is 12296 divisible by 8?
  23. 23.Is 836 divisible by 5?
  24. 24.Is 62336 divisible by 13?
  25. 25.Is 9619 divisible by 3?
  26. 26.Is 28067 divisible by 17?
  27. 27.Is 26825 divisible by 29?
  28. 28.Is 84909 divisible by 29?
  29. 29.Is 16858 divisible by 6?
  30. 30.Is 11160 divisible by 6?
  31. 31.Is 122500 divisible by 19?
  32. 32.Is 15224 divisible by 4?
  33. 33.Is 13158 divisible by 7?
  34. 34.Is 19350 divisible by 10?
  35. 35.Is 29220 divisible by 12?
  36. 36.Is 10044 divisible by 3?
  37. 37.Is 147770 divisible by 24?
  38. 38.Is 12649 divisible by 3?
  39. 39.Is 11803 divisible by 12?
  40. 40.Is 11054 divisible by 2?

Answer key

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

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