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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 354 · 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 14388 divisible by 12?
  2. 2.Is 89300 divisible by 19?
  3. 3.Is 133012 divisible by 20?
  4. 4.Is 104129 divisible by 15?
  5. 5.Is 82731 divisible by 23?
  6. 6.Is 86249 divisible by 18?
  7. 7.Is 2216 divisible by 4?
  8. 8.Is 1047 divisible by 2?
  9. 9.Is 65980 divisible by 10?
  10. 10.Is 40314 divisible by 9?
  11. 11.Is 76800 divisible by 12?
  12. 12.Is 63054 divisible by 13?
  13. 13.Is 21655 divisible by 5?
  14. 14.Is 94920 divisible by 20?
  15. 15.Is 1952 divisible by 7?
  16. 16.Is 45969 divisible by 7?
  17. 17.Is 56994 divisible by 23?
  18. 18.Is 96 divisible by 3?
  19. 19.Is 180032 divisible by 29?
  20. 20.Is 50688 divisible by 24?
  21. 21.Is 50583 divisible by 9?
  22. 22.Is 27328 divisible by 10?
  23. 23.Is 33440 divisible by 5?
  24. 24.Is 1726 divisible by 2?
  25. 25.Is 10225 divisible by 5?
  26. 26.Is 26730 divisible by 5?
  27. 27.Is 27516 divisible by 4?
  28. 28.Is 29650 divisible by 5?
  29. 29.Is 4927 divisible by 2?
  30. 30.Is 20503 divisible by 7?
  31. 31.Is 46144 divisible by 8?
  32. 32.Is 10557 divisible by 6?
  33. 33.Is 2770 divisible by 18?
  34. 34.Is 9375 divisible by 10?
  35. 35.Is 17743 divisible by 19?
  36. 36.Is 26456 divisible by 4?
  37. 37.Is 32180 divisible by 20?
  38. 38.Is 90933 divisible by 13?
  39. 39.Is 57665 divisible by 19?
  40. 40.Is 19162 divisible by 12?

Answer key

  1. yes
  2. yes
  3. no
  4. no
  5. yes
  6. no
  7. yes
  8. no
  9. yes
  10. no
  11. yes
  12. no
  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. yes
  27. yes
  28. yes
  29. no
  30. yes
  31. yes
  32. no
  33. no
  34. no
  35. no
  36. yes
  37. yes
  38. no
  39. yes
  40. no

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