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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 25 · 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 12647 divisible by 8?
  2. 2.Is 18198 divisible by 3?
  3. 3.Is 29572 divisible by 6?
  4. 4.Is 53911 divisible by 13?
  5. 5.Is 14679 divisible by 9?
  6. 6.Is 25532 divisible by 13?
  7. 7.Is 153180 divisible by 30?
  8. 8.Is 1745 divisible by 13?
  9. 9.Is 29172 divisible by 5?
  10. 10.Is 21532 divisible by 8?
  11. 11.Is 20112 divisible by 6?
  12. 12.Is 21869 divisible by 7?
  13. 13.Is 17951 divisible by 5?
  14. 14.Is 21496 divisible by 4?
  15. 15.Is 5960 divisible by 11?
  16. 16.Is 14314 divisible by 11?
  17. 17.Is 29856 divisible by 12?
  18. 18.Is 42595 divisible by 7?
  19. 19.Is 13722 divisible by 6?
  20. 20.Is 31878 divisible by 7?
  21. 21.Is 4437 divisible by 3?
  22. 22.Is 81090 divisible by 30?
  23. 23.Is 38857 divisible by 12?
  24. 24.Is 36192 divisible by 13?
  25. 25.Is 19440 divisible by 10?
  26. 26.Is 8265 divisible by 11?
  27. 27.Is 16236 divisible by 11?
  28. 28.Is 7382 divisible by 5?
  29. 29.Is 11871 divisible by 15?
  30. 30.Is 7994 divisible by 3?
  31. 31.Is 188938 divisible by 29?
  32. 32.Is 10986 divisible by 6?
  33. 33.Is 23969 divisible by 8?
  34. 34.Is 31105 divisible by 6?
  35. 35.Is 74490 divisible by 30?
  36. 36.Is 2639 divisible by 6?
  37. 37.Is 25419 divisible by 4?
  38. 38.Is 96695 divisible by 23?
  39. 39.Is 5760 divisible by 5?
  40. 40.Is 39653 divisible by 19?

Answer key

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

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