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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 213 · 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 45300 divisible by 11?
  2. 2.Is 14454 divisible by 18?
  3. 3.Is 9734 divisible by 5?
  4. 4.Is 12482 divisible by 2?
  5. 5.Is 13671 divisible by 7?
  6. 6.Is 79743 divisible by 19?
  7. 7.Is 12630 divisible by 2?
  8. 8.Is 20283 divisible by 3?
  9. 9.Is 77058 divisible by 24?
  10. 10.Is 17625 divisible by 15?
  11. 11.Is 147526 divisible by 29?
  12. 12.Is 6416 divisible by 4?
  13. 13.Is 37362 divisible by 10?
  14. 14.Is 120 divisible by 4?
  15. 15.Is 90827 divisible by 23?
  16. 16.Is 13087 divisible by 2?
  17. 17.Is 12458 divisible by 6?
  18. 18.Is 2023 divisible by 2?
  19. 19.Is 47220 divisible by 30?
  20. 20.Is 87423 divisible by 15?
  21. 21.Is 88155 divisible by 15?
  22. 22.Is 11810 divisible by 2?
  23. 23.Is 16752 divisible by 3?
  24. 24.Is 30958 divisible by 23?
  25. 25.Is 39954 divisible by 18?
  26. 26.Is 17676 divisible by 12?
  27. 27.Is 60230 divisible by 10?
  28. 28.Is 45655 divisible by 23?
  29. 29.Is 13018 divisible by 4?
  30. 30.Is 979 divisible by 11?
  31. 31.Is 36635 divisible by 29?
  32. 32.Is 44211 divisible by 8?
  33. 33.Is 20594 divisible by 9?
  34. 34.Is 12889 divisible by 7?
  35. 35.Is 7106 divisible by 19?
  36. 36.Is 75764 divisible by 13?
  37. 37.Is 23925 divisible by 23?
  38. 38.Is 14589 divisible by 3?
  39. 39.Is 111784 divisible by 18?
  40. 40.Is 8434 divisible by 3?

Answer key

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

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