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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 318 · 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 28626 divisible by 13?
  2. 2.Is 41280 divisible by 6?
  3. 3.Is 72007 divisible by 29?
  4. 4.Is 20904 divisible by 12?
  5. 5.Is 6098 divisible by 11?
  6. 6.Is 76100 divisible by 13?
  7. 7.Is 27048 divisible by 6?
  8. 8.Is 9464 divisible by 18?
  9. 9.Is 60285 divisible by 18?
  10. 10.Is 119331 divisible by 24?
  11. 11.Is 37142 divisible by 30?
  12. 12.Is 131689 divisible by 29?
  13. 13.Is 2328 divisible by 8?
  14. 14.Is 12199 divisible by 3?
  15. 15.Is 48337 divisible by 23?
  16. 16.Is 28747 divisible by 5?
  17. 17.Is 501 divisible by 5?
  18. 18.Is 25084 divisible by 8?
  19. 19.Is 80536 divisible by 24?
  20. 20.Is 22504 divisible by 4?
  21. 21.Is 92 divisible by 5?
  22. 22.Is 78394 divisible by 13?
  23. 23.Is 35207 divisible by 17?
  24. 24.Is 10897 divisible by 3?
  25. 25.Is 3981 divisible by 4?
  26. 26.Is 13514 divisible by 5?
  27. 27.Is 49341 divisible by 8?
  28. 28.Is 78217 divisible by 19?
  29. 29.Is 2377 divisible by 18?
  30. 30.Is 27324 divisible by 4?
  31. 31.Is 2191 divisible by 7?
  32. 32.Is 21714 divisible by 6?
  33. 33.Is 41313 divisible by 12?
  34. 34.Is 39814 divisible by 7?
  35. 35.Is 6480 divisible by 3?
  36. 36.Is 8844 divisible by 6?
  37. 37.Is 147660 divisible by 23?
  38. 38.Is 52521 divisible by 9?
  39. 39.Is 47196 divisible by 12?
  40. 40.Is 130196 divisible by 30?

Answer key

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

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