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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 141 · 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 10780 divisible by 11?
  2. 2.Is 63277 divisible by 19?
  3. 3.Is 43121 divisible by 7?
  4. 4.Is 2585 divisible by 11?
  5. 5.Is 34682 divisible by 6?
  6. 6.Is 13340 divisible by 6?
  7. 7.Is 16440 divisible by 15?
  8. 8.Is 18800 divisible by 20?
  9. 9.Is 666 divisible by 3?
  10. 10.Is 62618 divisible by 19?
  11. 11.Is 135765 divisible by 30?
  12. 12.Is 103249 divisible by 15?
  13. 13.Is 26652 divisible by 10?
  14. 14.Is 59961 divisible by 23?
  15. 15.Is 32015 divisible by 19?
  16. 16.Is 5076 divisible by 3?
  17. 17.Is 12150 divisible by 2?
  18. 18.Is 55507 divisible by 10?
  19. 19.Is 92177 divisible by 17?
  20. 20.Is 111024 divisible by 24?
  21. 21.Is 45669 divisible by 30?
  22. 22.Is 4585 divisible by 29?
  23. 23.Is 63580 divisible by 29?
  24. 24.Is 72250 divisible by 17?
  25. 25.Is 8946 divisible by 9?
  26. 26.Is 101270 divisible by 19?
  27. 27.Is 9324 divisible by 12?
  28. 28.Is 38246 divisible by 13?
  29. 29.Is 57510 divisible by 30?
  30. 30.Is 8116 divisible by 5?
  31. 31.Is 7815 divisible by 4?
  32. 32.Is 55248 divisible by 12?
  33. 33.Is 22778 divisible by 15?
  34. 34.Is 9158 divisible by 5?
  35. 35.Is 6920 divisible by 5?
  36. 36.Is 1480 divisible by 5?
  37. 37.Is 36332 divisible by 10?
  38. 38.Is 45197 divisible by 7?
  39. 39.Is 23350 divisible by 6?
  40. 40.Is 94280 divisible by 20?

Answer key

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

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