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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 800 · 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 121224 divisible by 24?
  2. 2.Is 5723 divisible by 6?
  3. 3.Is 15601 divisible by 3?
  4. 4.Is 35300 divisible by 20?
  5. 5.Is 55570 divisible by 10?
  6. 6.Is 40518 divisible by 9?
  7. 7.Is 10486 divisible by 15?
  8. 8.Is 14838 divisible by 11?
  9. 9.Is 100368 divisible by 20?
  10. 10.Is 43051 divisible by 18?
  11. 11.Is 132429 divisible by 30?
  12. 12.Is 56004 divisible by 12?
  13. 13.Is 11264 divisible by 8?
  14. 14.Is 81156 divisible by 12?
  15. 15.Is 143566 divisible by 23?
  16. 16.Is 74983 divisible by 19?
  17. 17.Is 3562 divisible by 2?
  18. 18.Is 52206 divisible by 19?
  19. 19.Is 190936 divisible by 29?
  20. 20.Is 48103 divisible by 13?
  21. 21.Is 51858 divisible by 9?
  22. 22.Is 93144 divisible by 24?
  23. 23.Is 76209 divisible by 11?
  24. 24.Is 9724 divisible by 15?
  25. 25.Is 13680 divisible by 19?
  26. 26.Is 25468 divisible by 4?
  27. 27.Is 44677 divisible by 19?
  28. 28.Is 14497 divisible by 4?
  29. 29.Is 34710 divisible by 15?
  30. 30.Is 72257 divisible by 19?
  31. 31.Is 106080 divisible by 17?
  32. 32.Is 53040 divisible by 20?
  33. 33.Is 70446 divisible by 24?
  34. 34.Is 63682 divisible by 17?
  35. 35.Is 92560 divisible by 20?
  36. 36.Is 2930 divisible by 7?
  37. 37.Is 17425 divisible by 23?
  38. 38.Is 22215 divisible by 9?
  39. 39.Is 4742 divisible by 5?
  40. 40.Is 32829 divisible by 7?

Answer key

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

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