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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 432 · 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 11816 divisible by 4?
  2. 2.Is 29754 divisible by 29?
  3. 3.Is 58845 divisible by 19?
  4. 4.Is 18018 divisible by 7?
  5. 5.Is 9517 divisible by 3?
  6. 6.Is 8939 divisible by 2?
  7. 7.Is 5687 divisible by 8?
  8. 8.Is 59780 divisible by 20?
  9. 9.Is 174957 divisible by 29?
  10. 10.Is 3406 divisible by 2?
  11. 11.Is 12072 divisible by 8?
  12. 12.Is 30750 divisible by 10?
  13. 13.Is 78223 divisible by 23?
  14. 14.Is 40458 divisible by 6?
  15. 15.Is 20207 divisible by 8?
  16. 16.Is 12567 divisible by 2?
  17. 17.Is 6772 divisible by 4?
  18. 18.Is 7045 divisible by 4?
  19. 19.Is 195030 divisible by 30?
  20. 20.Is 17347 divisible by 20?
  21. 21.Is 41071 divisible by 13?
  22. 22.Is 70433 divisible by 11?
  23. 23.Is 1938 divisible by 17?
  24. 24.Is 178272 divisible by 30?
  25. 25.Is 91783 divisible by 17?
  26. 26.Is 28509 divisible by 8?
  27. 27.Is 13089 divisible by 2?
  28. 28.Is 25211 divisible by 5?
  29. 29.Is 49312 divisible by 23?
  30. 30.Is 50793 divisible by 13?
  31. 31.Is 13793 divisible by 2?
  32. 32.Is 6173 divisible by 8?
  33. 33.Is 63180 divisible by 15?
  34. 34.Is 15920 divisible by 8?
  35. 35.Is 2208 divisible by 4?
  36. 36.Is 20822 divisible by 13?
  37. 37.Is 18162 divisible by 6?
  38. 38.Is 114150 divisible by 17?
  39. 39.Is 14270 divisible by 5?
  40. 40.Is 15658 divisible by 8?

Answer key

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

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