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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 607 · 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 15796 divisible by 9?
  2. 2.Is 57140 divisible by 20?
  3. 3.Is 44982 divisible by 7?
  4. 4.Is 3324 divisible by 4?
  5. 5.Is 76616 divisible by 13?
  6. 6.Is 37044 divisible by 18?
  7. 7.Is 8316 divisible by 9?
  8. 8.Is 55280 divisible by 20?
  9. 9.Is 26388 divisible by 9?
  10. 10.Is 25080 divisible by 12?
  11. 11.Is 145560 divisible by 30?
  12. 12.Is 124642 divisible by 24?
  13. 13.Is 79641 divisible by 13?
  14. 14.Is 29579 divisible by 5?
  15. 15.Is 57492 divisible by 12?
  16. 16.Is 25512 divisible by 6?
  17. 17.Is 3378 divisible by 11?
  18. 18.Is 46631 divisible by 12?
  19. 19.Is 981 divisible by 5?
  20. 20.Is 33240 divisible by 5?
  21. 21.Is 19990 divisible by 29?
  22. 22.Is 2917 divisible by 6?
  23. 23.Is 80045 divisible by 18?
  24. 24.Is 915 divisible by 3?
  25. 25.Is 26239 divisible by 11?
  26. 26.Is 130815 divisible by 19?
  27. 27.Is 4045 divisible by 4?
  28. 28.Is 78433 divisible by 29?
  29. 29.Is 6394 divisible by 2?
  30. 30.Is 27728 divisible by 8?
  31. 31.Is 1413 divisible by 4?
  32. 32.Is 33450 divisible by 9?
  33. 33.Is 36714 divisible by 6?
  34. 34.Is 27195 divisible by 7?
  35. 35.Is 46459 divisible by 8?
  36. 36.Is 20471 divisible by 23?
  37. 37.Is 8613 divisible by 3?
  38. 38.Is 19560 divisible by 24?
  39. 39.Is 15936 divisible by 24?
  40. 40.Is 17681 divisible by 5?

Answer key

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

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