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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 660 · 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 27384 divisible by 13?
  2. 2.Is 32776 divisible by 17?
  3. 3.Is 76790 divisible by 17?
  4. 4.Is 5335 divisible by 11?
  5. 5.Is 80491 divisible by 13?
  6. 6.Is 17133 divisible by 30?
  7. 7.Is 53205 divisible by 15?
  8. 8.Is 67410 divisible by 19?
  9. 9.Is 26168 divisible by 20?
  10. 10.Is 133 divisible by 3?
  11. 11.Is 14980 divisible by 8?
  12. 12.Is 26766 divisible by 18?
  13. 13.Is 135691 divisible by 23?
  14. 14.Is 18247 divisible by 5?
  15. 15.Is 29682 divisible by 17?
  16. 16.Is 95879 divisible by 19?
  17. 17.Is 104139 divisible by 30?
  18. 18.Is 54264 divisible by 12?
  19. 19.Is 27306 divisible by 6?
  20. 20.Is 110495 divisible by 30?
  21. 21.Is 19858 divisible by 4?
  22. 22.Is 51105 divisible by 18?
  23. 23.Is 120880 divisible by 20?
  24. 24.Is 69869 divisible by 17?
  25. 25.Is 18387 divisible by 9?
  26. 26.Is 66137 divisible by 11?
  27. 27.Is 14106 divisible by 3?
  28. 28.Is 70837 divisible by 13?
  29. 29.Is 28275 divisible by 15?
  30. 30.Is 31143 divisible by 18?
  31. 31.Is 151844 divisible by 29?
  32. 32.Is 5247 divisible by 6?
  33. 33.Is 32900 divisible by 7?
  34. 34.Is 6125 divisible by 17?
  35. 35.Is 14550 divisible by 11?
  36. 36.Is 7530 divisible by 10?
  37. 37.Is 53700 divisible by 10?
  38. 38.Is 23186 divisible by 11?
  39. 39.Is 10737 divisible by 4?
  40. 40.Is 137846 divisible by 20?

Answer key

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

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