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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 760 · 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 70944 divisible by 17?
  2. 2.Is 43957 divisible by 11?
  3. 3.Is 26642 divisible by 11?
  4. 4.Is 135600 divisible by 20?
  5. 5.Is 165464 divisible by 29?
  6. 6.Is 74991 divisible by 24?
  7. 7.Is 98694 divisible by 18?
  8. 8.Is 2673 divisible by 3?
  9. 9.Is 76661 divisible by 13?
  10. 10.Is 27880 divisible by 4?
  11. 11.Is 10570 divisible by 2?
  12. 12.Is 42810 divisible by 18?
  13. 13.Is 4801 divisible by 3?
  14. 14.Is 19125 divisible by 23?
  15. 15.Is 1092 divisible by 12?
  16. 16.Is 92486 divisible by 29?
  17. 17.Is 53917 divisible by 13?
  18. 18.Is 41845 divisible by 20?
  19. 19.Is 10433 divisible by 5?
  20. 20.Is 30729 divisible by 15?
  21. 21.Is 41433 divisible by 7?
  22. 22.Is 55471 divisible by 12?
  23. 23.Is 53490 divisible by 30?
  24. 24.Is 8766 divisible by 18?
  25. 25.Is 11718 divisible by 3?
  26. 26.Is 94412 divisible by 29?
  27. 27.Is 57264 divisible by 12?
  28. 28.Is 20169 divisible by 5?
  29. 29.Is 116375 divisible by 24?
  30. 30.Is 48213 divisible by 9?
  31. 31.Is 57684 divisible by 11?
  32. 32.Is 23115 divisible by 15?
  33. 33.Is 139896 divisible by 24?
  34. 34.Is 25871 divisible by 5?
  35. 35.Is 41595 divisible by 23?
  36. 36.Is 9971 divisible by 3?
  37. 37.Is 50941 divisible by 11?
  38. 38.Is 27863 divisible by 13?
  39. 39.Is 11052 divisible by 2?
  40. 40.Is 1849 divisible by 8?

Answer key

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

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