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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 650 · 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 4069 divisible by 9?
  2. 2.Is 45698 divisible by 11?
  3. 3.Is 173497 divisible by 30?
  4. 4.Is 375 divisible by 2?
  5. 5.Is 53763 divisible by 9?
  6. 6.Is 84709 divisible by 29?
  7. 7.Is 35152 divisible by 13?
  8. 8.Is 24207 divisible by 8?
  9. 9.Is 12622 divisible by 4?
  10. 10.Is 98801 divisible by 23?
  11. 11.Is 67902 divisible by 24?
  12. 12.Is 50576 divisible by 8?
  13. 13.Is 74212 divisible by 12?
  14. 14.Is 84916 divisible by 23?
  15. 15.Is 79105 divisible by 17?
  16. 16.Is 13537 divisible by 2?
  17. 17.Is 60480 divisible by 30?
  18. 18.Is 12116 divisible by 9?
  19. 19.Is 60231 divisible by 17?
  20. 20.Is 121506 divisible by 24?
  21. 21.Is 5928 divisible by 2?
  22. 22.Is 15725 divisible by 5?
  23. 23.Is 48123 divisible by 7?
  24. 24.Is 32605 divisible by 5?
  25. 25.Is 139723 divisible by 30?
  26. 26.Is 26531 divisible by 13?
  27. 27.Is 30789 divisible by 11?
  28. 28.Is 48984 divisible by 24?
  29. 29.Is 4018 divisible by 4?
  30. 30.Is 47729 divisible by 11?
  31. 31.Is 4812 divisible by 5?
  32. 32.Is 20483 divisible by 6?
  33. 33.Is 45682 divisible by 7?
  34. 34.Is 31640 divisible by 8?
  35. 35.Is 12099 divisible by 2?
  36. 36.Is 5906 divisible by 3?
  37. 37.Is 6905 divisible by 5?
  38. 38.Is 78240 divisible by 15?
  39. 39.Is 49958 divisible by 18?
  40. 40.Is 2439 divisible by 20?

Answer key

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

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