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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 82 · 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 110627 divisible by 24?
  2. 2.Is 7025 divisible by 18?
  3. 3.Is 64922 divisible by 18?
  4. 4.Is 12503 divisible by 4?
  5. 5.Is 11007 divisible by 2?
  6. 6.Is 14124 divisible by 13?
  7. 7.Is 18146 divisible by 5?
  8. 8.Is 3594 divisible by 2?
  9. 9.Is 157686 divisible by 24?
  10. 10.Is 51372 divisible by 9?
  11. 11.Is 98624 divisible by 23?
  12. 12.Is 16781 divisible by 3?
  13. 13.Is 30555 divisible by 9?
  14. 14.Is 3923 divisible by 4?
  15. 15.Is 185977 divisible by 29?
  16. 16.Is 9242 divisible by 7?
  17. 17.Is 2392 divisible by 11?
  18. 18.Is 85347 divisible by 29?
  19. 19.Is 5207 divisible by 3?
  20. 20.Is 3083 divisible by 8?
  21. 21.Is 106887 divisible by 20?
  22. 22.Is 522 divisible by 6?
  23. 23.Is 67755 divisible by 15?
  24. 24.Is 5576 divisible by 15?
  25. 25.Is 34103 divisible by 7?
  26. 26.Is 95078 divisible by 24?
  27. 27.Is 51708 divisible by 12?
  28. 28.Is 11089 divisible by 17?
  29. 29.Is 128520 divisible by 30?
  30. 30.Is 50046 divisible by 19?
  31. 31.Is 117612 divisible by 20?
  32. 32.Is 80016 divisible by 23?
  33. 33.Is 14028 divisible by 8?
  34. 34.Is 27584 divisible by 8?
  35. 35.Is 21831 divisible by 19?
  36. 36.Is 77288 divisible by 13?
  37. 37.Is 33393 divisible by 5?
  38. 38.Is 9831 divisible by 19?
  39. 39.Is 16004 divisible by 3?
  40. 40.Is 82399 divisible by 17?

Answer key

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

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