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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 510 · 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 44699 divisible by 12?
  2. 2.Is 46423 divisible by 13?
  3. 3.Is 48483 divisible by 12?
  4. 4.Is 90296 divisible by 17?
  5. 5.Is 20631 divisible by 13?
  6. 6.Is 55165 divisible by 17?
  7. 7.Is 1700 divisible by 17?
  8. 8.Is 24459 divisible by 9?
  9. 9.Is 10908 divisible by 3?
  10. 10.Is 363 divisible by 5?
  11. 11.Is 98582 divisible by 15?
  12. 12.Is 115522 divisible by 29?
  13. 13.Is 11279 divisible by 4?
  14. 14.Is 41165 divisible by 6?
  15. 15.Is 27192 divisible by 12?
  16. 16.Is 3331 divisible by 2?
  17. 17.Is 67682 divisible by 29?
  18. 18.Is 24598 divisible by 6?
  19. 19.Is 8765 divisible by 2?
  20. 20.Is 53086 divisible by 17?
  21. 21.Is 41242 divisible by 17?
  22. 22.Is 37577 divisible by 20?
  23. 23.Is 1487 divisible by 17?
  24. 24.Is 12184 divisible by 4?
  25. 25.Is 80513 divisible by 30?
  26. 26.Is 53830 divisible by 10?
  27. 27.Is 4472 divisible by 3?
  28. 28.Is 19900 divisible by 5?
  29. 29.Is 60972 divisible by 12?
  30. 30.Is 33463 divisible by 10?
  31. 31.Is 20911 divisible by 11?
  32. 32.Is 9999 divisible by 9?
  33. 33.Is 2696 divisible by 8?
  34. 34.Is 35526 divisible by 6?
  35. 35.Is 2533 divisible by 30?
  36. 36.Is 19008 divisible by 6?
  37. 37.Is 33739 divisible by 11?
  38. 38.Is 8600 divisible by 3?
  39. 39.Is 50630 divisible by 10?
  40. 40.Is 145650 divisible by 30?

Answer key

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

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