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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 759 · 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 25320 divisible by 5?
  2. 2.Is 166586 divisible by 30?
  3. 3.Is 27086 divisible by 23?
  4. 4.Is 11900 divisible by 9?
  5. 5.Is 175604 divisible by 29?
  6. 6.Is 69626 divisible by 11?
  7. 7.Is 120920 divisible by 20?
  8. 8.Is 78720 divisible by 20?
  9. 9.Is 18063 divisible by 3?
  10. 10.Is 17122 divisible by 11?
  11. 11.Is 34896 divisible by 12?
  12. 12.Is 42172 divisible by 7?
  13. 13.Is 33625 divisible by 5?
  14. 14.Is 77516 divisible by 19?
  15. 15.Is 9260 divisible by 7?
  16. 16.Is 31812 divisible by 12?
  17. 17.Is 720 divisible by 2?
  18. 18.Is 46455 divisible by 19?
  19. 19.Is 26680 divisible by 4?
  20. 20.Is 29256 divisible by 12?
  21. 21.Is 28638 divisible by 6?
  22. 22.Is 10346 divisible by 6?
  23. 23.Is 62385 divisible by 17?
  24. 24.Is 53197 divisible by 19?
  25. 25.Is 18720 divisible by 15?
  26. 26.Is 11776 divisible by 8?
  27. 27.Is 42408 divisible by 24?
  28. 28.Is 7289 divisible by 10?
  29. 29.Is 55335 divisible by 15?
  30. 30.Is 12512 divisible by 7?
  31. 31.Is 16786 divisible by 11?
  32. 32.Is 103385 divisible by 29?
  33. 33.Is 5080 divisible by 8?
  34. 34.Is 23976 divisible by 9?
  35. 35.Is 996 divisible by 2?
  36. 36.Is 14991 divisible by 3?
  37. 37.Is 31520 divisible by 5?
  38. 38.Is 28980 divisible by 9?
  39. 39.Is 56749 divisible by 12?
  40. 40.Is 148602 divisible by 24?

Answer key

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

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