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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 196 · 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 4801 divisible by 10?
  2. 2.Is 149340 divisible by 30?
  3. 3.Is 55632 divisible by 8?
  4. 4.Is 10759 divisible by 7?
  5. 5.Is 20076 divisible by 4?
  6. 6.Is 75240 divisible by 12?
  7. 7.Is 475 divisible by 3?
  8. 8.Is 12367 divisible by 6?
  9. 9.Is 12795 divisible by 2?
  10. 10.Is 12034 divisible by 2?
  11. 11.Is 26504 divisible by 7?
  12. 12.Is 27334 divisible by 7?
  13. 13.Is 50373 divisible by 9?
  14. 14.Is 113164 divisible by 23?
  15. 15.Is 14430 divisible by 3?
  16. 16.Is 2222 divisible by 9?
  17. 17.Is 87810 divisible by 30?
  18. 18.Is 9090 divisible by 6?
  19. 19.Is 50802 divisible by 12?
  20. 20.Is 21803 divisible by 7?
  21. 21.Is 148743 divisible by 29?
  22. 22.Is 25754 divisible by 29?
  23. 23.Is 14766 divisible by 12?
  24. 24.Is 13685 divisible by 6?
  25. 25.Is 2261 divisible by 7?
  26. 26.Is 7182 divisible by 19?
  27. 27.Is 10851 divisible by 17?
  28. 28.Is 75870 divisible by 15?
  29. 29.Is 37444 divisible by 11?
  30. 30.Is 4427 divisible by 7?
  31. 31.Is 7784 divisible by 9?
  32. 32.Is 83566 divisible by 13?
  33. 33.Is 51629 divisible by 8?
  34. 34.Is 24540 divisible by 12?
  35. 35.Is 123966 divisible by 18?
  36. 36.Is 19314 divisible by 29?
  37. 37.Is 4682 divisible by 15?
  38. 38.Is 48418 divisible by 23?
  39. 39.Is 84525 divisible by 15?
  40. 40.Is 4481 divisible by 7?

Answer key

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

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