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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 136 · 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 13272 divisible by 7?
  2. 2.Is 64821 divisible by 20?
  3. 3.Is 7738 divisible by 3?
  4. 4.Is 16911 divisible by 20?
  5. 5.Is 20974 divisible by 11?
  6. 6.Is 40761 divisible by 7?
  7. 7.Is 19256 divisible by 4?
  8. 8.Is 53700 divisible by 15?
  9. 9.Is 39930 divisible by 15?
  10. 10.Is 35664 divisible by 11?
  11. 11.Is 16822 divisible by 13?
  12. 12.Is 7780 divisible by 20?
  13. 13.Is 47020 divisible by 24?
  14. 14.Is 94943 divisible by 19?
  15. 15.Is 75015 divisible by 15?
  16. 16.Is 5321 divisible by 3?
  17. 17.Is 16118 divisible by 3?
  18. 18.Is 1152 divisible by 3?
  19. 19.Is 11554 divisible by 10?
  20. 20.Is 17724 divisible by 5?
  21. 21.Is 22455 divisible by 4?
  22. 22.Is 20824 divisible by 5?
  23. 23.Is 4649 divisible by 3?
  24. 24.Is 6249 divisible by 9?
  25. 25.Is 21223 divisible by 24?
  26. 26.Is 8925 divisible by 17?
  27. 27.Is 65992 divisible by 15?
  28. 28.Is 20633 divisible by 19?
  29. 29.Is 24440 divisible by 10?
  30. 30.Is 120900 divisible by 20?
  31. 31.Is 28704 divisible by 18?
  32. 32.Is 10589 divisible by 3?
  33. 33.Is 90505 divisible by 23?
  34. 34.Is 63804 divisible by 13?
  35. 35.Is 11051 divisible by 3?
  36. 36.Is 4058 divisible by 2?
  37. 37.Is 111159 divisible by 23?
  38. 38.Is 8526 divisible by 8?
  39. 39.Is 28510 divisible by 10?
  40. 40.Is 48104 divisible by 8?

Answer key

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

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