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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 832 · 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 121639 divisible by 18?
  2. 2.Is 85970 divisible by 19?
  3. 3.Is 16738 divisible by 6?
  4. 4.Is 19404 divisible by 12?
  5. 5.Is 6789 divisible by 4?
  6. 6.Is 39564 divisible by 7?
  7. 7.Is 25412 divisible by 6?
  8. 8.Is 106622 divisible by 20?
  9. 9.Is 159624 divisible by 24?
  10. 10.Is 24706 divisible by 13?
  11. 11.Is 8890 divisible by 7?
  12. 12.Is 82464 divisible by 24?
  13. 13.Is 2844 divisible by 2?
  14. 14.Is 17448 divisible by 5?
  15. 15.Is 6012 divisible by 9?
  16. 16.Is 67500 divisible by 29?
  17. 17.Is 122775 divisible by 18?
  18. 18.Is 94317 divisible by 23?
  19. 19.Is 2775 divisible by 7?
  20. 20.Is 23370 divisible by 30?
  21. 21.Is 7081 divisible by 4?
  22. 22.Is 26245 divisible by 29?
  23. 23.Is 62265 divisible by 15?
  24. 24.Is 28830 divisible by 15?
  25. 25.Is 76361 divisible by 18?
  26. 26.Is 83952 divisible by 12?
  27. 27.Is 32994 divisible by 10?
  28. 28.Is 23401 divisible by 7?
  29. 29.Is 46930 divisible by 10?
  30. 30.Is 3771 divisible by 4?
  31. 31.Is 3804 divisible by 2?
  32. 32.Is 98162 divisible by 19?
  33. 33.Is 12406 divisible by 2?
  34. 34.Is 147271 divisible by 24?
  35. 35.Is 126693 divisible by 19?
  36. 36.Is 16818 divisible by 3?
  37. 37.Is 33612 divisible by 17?
  38. 38.Is 10123 divisible by 24?
  39. 39.Is 16797 divisible by 9?
  40. 40.Is 9790 divisible by 11?

Answer key

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

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