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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 203 · 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 82368 divisible by 24?
  2. 2.Is 163213 divisible by 29?
  3. 3.Is 107758 divisible by 20?
  4. 4.Is 1643 divisible by 5?
  5. 5.Is 20009 divisible by 17?
  6. 6.Is 11172 divisible by 6?
  7. 7.Is 81151 divisible by 13?
  8. 8.Is 106639 divisible by 17?
  9. 9.Is 98574 divisible by 15?
  10. 10.Is 5786 divisible by 6?
  11. 11.Is 15440 divisible by 5?
  12. 12.Is 52577 divisible by 29?
  13. 13.Is 18863 divisible by 5?
  14. 14.Is 3104 divisible by 20?
  15. 15.Is 90972 divisible by 18?
  16. 16.Is 45587 divisible by 17?
  17. 17.Is 90937 divisible by 30?
  18. 18.Is 131900 divisible by 20?
  19. 19.Is 110862 divisible by 23?
  20. 20.Is 10380 divisible by 6?
  21. 21.Is 24824 divisible by 8?
  22. 22.Is 138826 divisible by 29?
  23. 23.Is 5160 divisible by 12?
  24. 24.Is 49142 divisible by 13?
  25. 25.Is 87447 divisible by 19?
  26. 26.Is 88189 divisible by 15?
  27. 27.Is 2920 divisible by 20?
  28. 28.Is 375 divisible by 12?
  29. 29.Is 8028 divisible by 5?
  30. 30.Is 43758 divisible by 13?
  31. 31.Is 43150 divisible by 10?
  32. 32.Is 13170 divisible by 6?
  33. 33.Is 39739 divisible by 7?
  34. 34.Is 26792 divisible by 7?
  35. 35.Is 32296 divisible by 11?
  36. 36.Is 25436 divisible by 23?
  37. 37.Is 1920 divisible by 5?
  38. 38.Is 31769 divisible by 5?
  39. 39.Is 13709 divisible by 2?
  40. 40.Is 61486 divisible by 12?

Answer key

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

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