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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 955 · 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 39339 divisible by 13?
  2. 2.Is 137486 divisible by 20?
  3. 3.Is 13726 divisible by 10?
  4. 4.Is 15871 divisible by 13?
  5. 5.Is 41243 divisible by 7?
  6. 6.Is 16520 divisible by 3?
  7. 7.Is 98500 divisible by 20?
  8. 8.Is 7803 divisible by 17?
  9. 9.Is 11983 divisible by 11?
  10. 10.Is 112574 divisible by 30?
  11. 11.Is 11719 divisible by 3?
  12. 12.Is 59775 divisible by 15?
  13. 13.Is 11616 divisible by 8?
  14. 14.Is 48586 divisible by 17?
  15. 15.Is 20111 divisible by 7?
  16. 16.Is 2780 divisible by 4?
  17. 17.Is 84887 divisible by 17?
  18. 18.Is 3258 divisible by 6?
  19. 19.Is 57252 divisible by 13?
  20. 20.Is 49117 divisible by 13?
  21. 21.Is 23256 divisible by 17?
  22. 22.Is 22174 divisible by 6?
  23. 23.Is 16489 divisible by 11?
  24. 24.Is 26136 divisible by 8?
  25. 25.Is 13518 divisible by 2?
  26. 26.Is 58879 divisible by 18?
  27. 27.Is 9635 divisible by 2?
  28. 28.Is 3079 divisible by 2?
  29. 29.Is 58049 divisible by 20?
  30. 30.Is 24919 divisible by 24?
  31. 31.Is 8072 divisible by 4?
  32. 32.Is 11564 divisible by 7?
  33. 33.Is 47773 divisible by 11?
  34. 34.Is 58636 divisible by 11?
  35. 35.Is 13631 divisible by 17?
  36. 36.Is 52269 divisible by 19?
  37. 37.Is 52816 divisible by 8?
  38. 38.Is 46430 divisible by 18?
  39. 39.Is 8769 divisible by 15?
  40. 40.Is 4548 divisible by 7?

Answer key

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

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