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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 645 · 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 60055 divisible by 12?
  2. 2.Is 60705 divisible by 15?
  3. 3.Is 32932 divisible by 6?
  4. 4.Is 9056 divisible by 2?
  5. 5.Is 59037 divisible by 29?
  6. 6.Is 160440 divisible by 24?
  7. 7.Is 146462 divisible by 30?
  8. 8.Is 1528 divisible by 10?
  9. 9.Is 9766 divisible by 12?
  10. 10.Is 66725 divisible by 17?
  11. 11.Is 3150 divisible by 30?
  12. 12.Is 5976 divisible by 6?
  13. 13.Is 11724 divisible by 3?
  14. 14.Is 53516 divisible by 17?
  15. 15.Is 31232 divisible by 6?
  16. 16.Is 13726 divisible by 3?
  17. 17.Is 49647 divisible by 19?
  18. 18.Is 63781 divisible by 18?
  19. 19.Is 3697 divisible by 3?
  20. 20.Is 15038 divisible by 7?
  21. 21.Is 4323 divisible by 4?
  22. 22.Is 49221 divisible by 9?
  23. 23.Is 19704 divisible by 19?
  24. 24.Is 80961 divisible by 23?
  25. 25.Is 13063 divisible by 2?
  26. 26.Is 5524 divisible by 2?
  27. 27.Is 7000 divisible by 11?
  28. 28.Is 44505 divisible by 9?
  29. 29.Is 27240 divisible by 6?
  30. 30.Is 13621 divisible by 6?
  31. 31.Is 11964 divisible by 3?
  32. 32.Is 26096 divisible by 4?
  33. 33.Is 102303 divisible by 19?
  34. 34.Is 30375 divisible by 7?
  35. 35.Is 13995 divisible by 7?
  36. 36.Is 57362 divisible by 17?
  37. 37.Is 10390 divisible by 10?
  38. 38.Is 1809 divisible by 5?
  39. 39.Is 15506 divisible by 20?
  40. 40.Is 10264 divisible by 8?

Answer key

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

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