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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 315 · 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 63241 divisible by 12?
  2. 2.Is 69366 divisible by 10?
  3. 3.Is 35406 divisible by 6?
  4. 4.Is 14178 divisible by 17?
  5. 5.Is 50566 divisible by 15?
  6. 6.Is 93118 divisible by 18?
  7. 7.Is 8545 divisible by 2?
  8. 8.Is 82386 divisible by 18?
  9. 9.Is 24505 divisible by 5?
  10. 10.Is 36426 divisible by 30?
  11. 11.Is 27772 divisible by 13?
  12. 12.Is 4994 divisible by 3?
  13. 13.Is 11915 divisible by 5?
  14. 14.Is 53411 divisible by 8?
  15. 15.Is 9032 divisible by 3?
  16. 16.Is 32351 divisible by 17?
  17. 17.Is 53376 divisible by 29?
  18. 18.Is 67567 divisible by 20?
  19. 19.Is 15628 divisible by 20?
  20. 20.Is 115440 divisible by 23?
  21. 21.Is 2764 divisible by 10?
  22. 22.Is 183593 divisible by 29?
  23. 23.Is 14768 divisible by 3?
  24. 24.Is 11779 divisible by 6?
  25. 25.Is 29158 divisible by 8?
  26. 26.Is 190779 divisible by 29?
  27. 27.Is 56044 divisible by 23?
  28. 28.Is 3096 divisible by 3?
  29. 29.Is 354 divisible by 3?
  30. 30.Is 23145 divisible by 15?
  31. 31.Is 47063 divisible by 19?
  32. 32.Is 4367 divisible by 4?
  33. 33.Is 53282 divisible by 13?
  34. 34.Is 18666 divisible by 4?
  35. 35.Is 341 divisible by 4?
  36. 36.Is 11940 divisible by 10?
  37. 37.Is 46640 divisible by 20?
  38. 38.Is 34595 divisible by 15?
  39. 39.Is 86439 divisible by 24?
  40. 40.Is 72722 divisible by 17?

Answer key

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

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