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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 750 · 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 10752 divisible by 3?
  2. 2.Is 151799 divisible by 24?
  3. 3.Is 13248 divisible by 15?
  4. 4.Is 86711 divisible by 20?
  5. 5.Is 3213 divisible by 6?
  6. 6.Is 25964 divisible by 6?
  7. 7.Is 103326 divisible by 17?
  8. 8.Is 72345 divisible by 17?
  9. 9.Is 9033 divisible by 11?
  10. 10.Is 81642 divisible by 19?
  11. 11.Is 60447 divisible by 10?
  12. 12.Is 26376 divisible by 6?
  13. 13.Is 23568 divisible by 10?
  14. 14.Is 46336 divisible by 15?
  15. 15.Is 93415 divisible by 24?
  16. 16.Is 60048 divisible by 20?
  17. 17.Is 5980 divisible by 18?
  18. 18.Is 11811 divisible by 7?
  19. 19.Is 157437 divisible by 29?
  20. 20.Is 120300 divisible by 30?
  21. 21.Is 11841 divisible by 2?
  22. 22.Is 1057 divisible by 3?
  23. 23.Is 35289 divisible by 20?
  24. 24.Is 21906 divisible by 9?
  25. 25.Is 6136 divisible by 2?
  26. 26.Is 8786 divisible by 23?
  27. 27.Is 87788 divisible by 17?
  28. 28.Is 113873 divisible by 23?
  29. 29.Is 19467 divisible by 7?
  30. 30.Is 76410 divisible by 18?
  31. 31.Is 2323 divisible by 2?
  32. 32.Is 2784 divisible by 5?
  33. 33.Is 5989 divisible by 6?
  34. 34.Is 93532 divisible by 24?
  35. 35.Is 110889 divisible by 23?
  36. 36.Is 25350 divisible by 10?
  37. 37.Is 10340 divisible by 20?
  38. 38.Is 27222 divisible by 6?
  39. 39.Is 121838 divisible by 23?
  40. 40.Is 105823 divisible by 23?

Answer key

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

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