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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 96 · 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 11770 divisible by 5?
  2. 2.Is 25580 divisible by 5?
  3. 3.Is 99889 divisible by 17?
  4. 4.Is 20003 divisible by 7?
  5. 5.Is 17406 divisible by 5?
  6. 6.Is 101289 divisible by 20?
  7. 7.Is 11367 divisible by 17?
  8. 8.Is 13980 divisible by 20?
  9. 9.Is 18749 divisible by 8?
  10. 10.Is 71050 divisible by 29?
  11. 11.Is 87092 divisible by 29?
  12. 12.Is 86934 divisible by 15?
  13. 13.Is 19241 divisible by 8?
  14. 14.Is 58631 divisible by 10?
  15. 15.Is 6561 divisible by 6?
  16. 16.Is 5698 divisible by 2?
  17. 17.Is 25382 divisible by 4?
  18. 18.Is 7854 divisible by 2?
  19. 19.Is 17736 divisible by 12?
  20. 20.Is 50252 divisible by 17?
  21. 21.Is 4094 divisible by 23?
  22. 22.Is 2069 divisible by 13?
  23. 23.Is 92672 divisible by 29?
  24. 24.Is 89900 divisible by 29?
  25. 25.Is 69817 divisible by 11?
  26. 26.Is 40403 divisible by 6?
  27. 27.Is 12298 divisible by 2?
  28. 28.Is 37884 divisible by 12?
  29. 29.Is 146160 divisible by 30?
  30. 30.Is 1287 divisible by 13?
  31. 31.Is 15041 divisible by 7?
  32. 32.Is 92772 divisible by 30?
  33. 33.Is 36189 divisible by 9?
  34. 34.Is 62082 divisible by 9?
  35. 35.Is 11727 divisible by 7?
  36. 36.Is 20466 divisible by 8?
  37. 37.Is 184441 divisible by 29?
  38. 38.Is 48717 divisible by 7?
  39. 39.Is 26208 divisible by 4?
  40. 40.Is 32358 divisible by 5?

Answer key

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

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