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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 85 · 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 33902 divisible by 8?
  2. 2.Is 13435 divisible by 5?
  3. 3.Is 37938 divisible by 6?
  4. 4.Is 15903 divisible by 3?
  5. 5.Is 28060 divisible by 5?
  6. 6.Is 20461 divisible by 4?
  7. 7.Is 104029 divisible by 19?
  8. 8.Is 2835 divisible by 10?
  9. 9.Is 31165 divisible by 23?
  10. 10.Is 3706 divisible by 2?
  11. 11.Is 63951 divisible by 20?
  12. 12.Is 204930 divisible by 30?
  13. 13.Is 7623 divisible by 7?
  14. 14.Is 53520 divisible by 20?
  15. 15.Is 23797 divisible by 6?
  16. 16.Is 3666 divisible by 2?
  17. 17.Is 56538 divisible by 18?
  18. 18.Is 6728 divisible by 15?
  19. 19.Is 7619 divisible by 4?
  20. 20.Is 23139 divisible by 6?
  21. 21.Is 36803 divisible by 12?
  22. 22.Is 82080 divisible by 12?
  23. 23.Is 40019 divisible by 9?
  24. 24.Is 71858 divisible by 19?
  25. 25.Is 20048 divisible by 7?
  26. 26.Is 13594 divisible by 2?
  27. 27.Is 46571 divisible by 7?
  28. 28.Is 10012 divisible by 3?
  29. 29.Is 155250 divisible by 23?
  30. 30.Is 9457 divisible by 4?
  31. 31.Is 92040 divisible by 24?
  32. 32.Is 2565 divisible by 9?
  33. 33.Is 6916 divisible by 7?
  34. 34.Is 26697 divisible by 11?
  35. 35.Is 55936 divisible by 19?
  36. 36.Is 53982 divisible by 12?
  37. 37.Is 20832 divisible by 3?
  38. 38.Is 44002 divisible by 7?
  39. 39.Is 38500 divisible by 20?
  40. 40.Is 33449 divisible by 18?

Answer key

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

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