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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 190 · 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 7413 divisible by 5?
  2. 2.Is 53159 divisible by 13?
  3. 3.Is 5756 divisible by 5?
  4. 4.Is 28845 divisible by 15?
  5. 5.Is 23640 divisible by 9?
  6. 6.Is 14276 divisible by 4?
  7. 7.Is 47800 divisible by 10?
  8. 8.Is 20880 divisible by 5?
  9. 9.Is 113886 divisible by 18?
  10. 10.Is 50094 divisible by 9?
  11. 11.Is 74968 divisible by 11?
  12. 12.Is 1617 divisible by 29?
  13. 13.Is 41330 divisible by 6?
  14. 14.Is 6169 divisible by 23?
  15. 15.Is 2820 divisible by 5?
  16. 16.Is 12355 divisible by 9?
  17. 17.Is 6453 divisible by 9?
  18. 18.Is 14552 divisible by 17?
  19. 19.Is 29347 divisible by 20?
  20. 20.Is 396 divisible by 9?
  21. 21.Is 14351 divisible by 3?
  22. 22.Is 57000 divisible by 20?
  23. 23.Is 30310 divisible by 7?
  24. 24.Is 6545 divisible by 3?
  25. 25.Is 13966 divisible by 2?
  26. 26.Is 33809 divisible by 6?
  27. 27.Is 45170 divisible by 18?
  28. 28.Is 85832 divisible by 17?
  29. 29.Is 39831 divisible by 23?
  30. 30.Is 28994 divisible by 19?
  31. 31.Is 111040 divisible by 20?
  32. 32.Is 87116 divisible by 29?
  33. 33.Is 115681 divisible by 29?
  34. 34.Is 84976 divisible by 24?
  35. 35.Is 45450 divisible by 30?
  36. 36.Is 31194 divisible by 6?
  37. 37.Is 12648 divisible by 12?
  38. 38.Is 32153 divisible by 8?
  39. 39.Is 57420 divisible by 12?
  40. 40.Is 8010 divisible by 5?

Answer key

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

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