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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 864 · 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 45015 divisible by 15?
  2. 2.Is 31018 divisible by 13?
  3. 3.Is 29272 divisible by 8?
  4. 4.Is 60540 divisible by 20?
  5. 5.Is 98430 divisible by 17?
  6. 6.Is 34227 divisible by 24?
  7. 7.Is 8785 divisible by 7?
  8. 8.Is 3173 divisible by 2?
  9. 9.Is 5299 divisible by 2?
  10. 10.Is 111359 divisible by 19?
  11. 11.Is 98322 divisible by 24?
  12. 12.Is 25998 divisible by 6?
  13. 13.Is 89965 divisible by 18?
  14. 14.Is 93888 divisible by 24?
  15. 15.Is 16252 divisible by 17?
  16. 16.Is 1918 divisible by 6?
  17. 17.Is 14698 divisible by 6?
  18. 18.Is 7911 divisible by 13?
  19. 19.Is 61326 divisible by 18?
  20. 20.Is 19621 divisible by 8?
  21. 21.Is 11448 divisible by 8?
  22. 22.Is 97545 divisible by 15?
  23. 23.Is 74358 divisible by 19?
  24. 24.Is 26448 divisible by 24?
  25. 25.Is 49770 divisible by 15?
  26. 26.Is 39780 divisible by 20?
  27. 27.Is 182700 divisible by 29?
  28. 28.Is 2249 divisible by 11?
  29. 29.Is 128033 divisible by 30?
  30. 30.Is 48361 divisible by 8?
  31. 31.Is 118503 divisible by 19?
  32. 32.Is 572 divisible by 5?
  33. 33.Is 62994 divisible by 10?
  34. 34.Is 29384 divisible by 5?
  35. 35.Is 77786 divisible by 23?
  36. 36.Is 91776 divisible by 17?
  37. 37.Is 36589 divisible by 24?
  38. 38.Is 10057 divisible by 9?
  39. 39.Is 341 divisible by 10?
  40. 40.Is 41071 divisible by 6?

Answer key

  1. yes
  2. yes
  3. yes
  4. yes
  5. yes
  6. no
  7. yes
  8. no
  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. no
  24. yes
  25. yes
  26. yes
  27. yes
  28. no
  29. no
  30. no
  31. yes
  32. no
  33. no
  34. no
  35. yes
  36. no
  37. no
  38. no
  39. no
  40. no

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