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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 346 · 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 39446 divisible by 11?
  2. 2.Is 1386 divisible by 6?
  3. 3.Is 63187 divisible by 10?
  4. 4.Is 82510 divisible by 20?
  5. 5.Is 16309 divisible by 3?
  6. 6.Is 56882 divisible by 17?
  7. 7.Is 569 divisible by 7?
  8. 8.Is 9111 divisible by 3?
  9. 9.Is 68739 divisible by 11?
  10. 10.Is 312 divisible by 3?
  11. 11.Is 32114 divisible by 15?
  12. 12.Is 33525 divisible by 15?
  13. 13.Is 18463 divisible by 7?
  14. 14.Is 151797 divisible by 23?
  15. 15.Is 73610 divisible by 17?
  16. 16.Is 19938 divisible by 5?
  17. 17.Is 110143 divisible by 20?
  18. 18.Is 47712 divisible by 12?
  19. 19.Is 9412 divisible by 4?
  20. 20.Is 16283 divisible by 19?
  21. 21.Is 136196 divisible by 23?
  22. 22.Is 53985 divisible by 19?
  23. 23.Is 125197 divisible by 23?
  24. 24.Is 32305 divisible by 13?
  25. 25.Is 132420 divisible by 30?
  26. 26.Is 3591 divisible by 8?
  27. 27.Is 13176 divisible by 2?
  28. 28.Is 126616 divisible by 19?
  29. 29.Is 2413 divisible by 2?
  30. 30.Is 28140 divisible by 15?
  31. 31.Is 42147 divisible by 23?
  32. 32.Is 4421 divisible by 5?
  33. 33.Is 52728 divisible by 13?
  34. 34.Is 20363 divisible by 5?
  35. 35.Is 141906 divisible by 24?
  36. 36.Is 70983 divisible by 13?
  37. 37.Is 15840 divisible by 20?
  38. 38.Is 87337 divisible by 15?
  39. 39.Is 8075 divisible by 3?
  40. 40.Is 14243 divisible by 3?

Answer key

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

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