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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 427 · 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 27584 divisible by 5?
  2. 2.Is 26623 divisible by 30?
  3. 3.Is 104518 divisible by 15?
  4. 4.Is 45310 divisible by 9?
  5. 5.Is 48122 divisible by 20?
  6. 6.Is 14834 divisible by 29?
  7. 7.Is 16683 divisible by 3?
  8. 8.Is 119800 divisible by 20?
  9. 9.Is 1435 divisible by 5?
  10. 10.Is 4038 divisible by 3?
  11. 11.Is 18295 divisible by 5?
  12. 12.Is 8617 divisible by 11?
  13. 13.Is 71300 divisible by 20?
  14. 14.Is 24186 divisible by 29?
  15. 15.Is 195341 divisible by 30?
  16. 16.Is 12785 divisible by 20?
  17. 17.Is 77235 divisible by 15?
  18. 18.Is 90454 divisible by 18?
  19. 19.Is 69460 divisible by 23?
  20. 20.Is 57618 divisible by 9?
  21. 21.Is 11792 divisible by 11?
  22. 22.Is 44028 divisible by 18?
  23. 23.Is 13094 divisible by 19?
  24. 24.Is 19440 divisible by 10?
  25. 25.Is 10896 divisible by 5?
  26. 26.Is 32738 divisible by 7?
  27. 27.Is 82871 divisible by 20?
  28. 28.Is 43191 divisible by 9?
  29. 29.Is 130435 divisible by 24?
  30. 30.Is 92657 divisible by 20?
  31. 31.Is 3374 divisible by 12?
  32. 32.Is 98479 divisible by 15?
  33. 33.Is 145170 divisible by 30?
  34. 34.Is 123604 divisible by 23?
  35. 35.Is 27656 divisible by 11?
  36. 36.Is 13152 divisible by 2?
  37. 37.Is 14187 divisible by 3?
  38. 38.Is 24342 divisible by 6?
  39. 39.Is 26847 divisible by 19?
  40. 40.Is 15891 divisible by 3?

Answer key

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

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