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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 666 · 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 15815 divisible by 23?
  2. 2.Is 4689 divisible by 3?
  3. 3.Is 3460 divisible by 4?
  4. 4.Is 23853 divisible by 7?
  5. 5.Is 3496 divisible by 23?
  6. 6.Is 10833 divisible by 30?
  7. 7.Is 16344 divisible by 18?
  8. 8.Is 25130 divisible by 5?
  9. 9.Is 5529 divisible by 4?
  10. 10.Is 29999 divisible by 11?
  11. 11.Is 10359 divisible by 11?
  12. 12.Is 86245 divisible by 13?
  13. 13.Is 11200 divisible by 20?
  14. 14.Is 1476 divisible by 3?
  15. 15.Is 7257 divisible by 3?
  16. 16.Is 60810 divisible by 15?
  17. 17.Is 9581 divisible by 11?
  18. 18.Is 10904 divisible by 3?
  19. 19.Is 40181 divisible by 23?
  20. 20.Is 1840 divisible by 3?
  21. 21.Is 48552 divisible by 8?
  22. 22.Is 78401 divisible by 30?
  23. 23.Is 76007 divisible by 17?
  24. 24.Is 117204 divisible by 18?
  25. 25.Is 34630 divisible by 10?
  26. 26.Is 134620 divisible by 24?
  27. 27.Is 49298 divisible by 17?
  28. 28.Is 137015 divisible by 23?
  29. 29.Is 19516 divisible by 6?
  30. 30.Is 6603 divisible by 3?
  31. 31.Is 23046 divisible by 23?
  32. 32.Is 46472 divisible by 8?
  33. 33.Is 127780 divisible by 23?
  34. 34.Is 8830 divisible by 13?
  35. 35.Is 22625 divisible by 6?
  36. 36.Is 135780 divisible by 20?
  37. 37.Is 3388 divisible by 7?
  38. 38.Is 6648 divisible by 3?
  39. 39.Is 44980 divisible by 20?
  40. 40.Is 87571 divisible by 19?

Answer key

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

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