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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 160 · 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 65178 divisible by 18?
  2. 2.Is 30457 divisible by 15?
  3. 3.Is 23345 divisible by 6?
  4. 4.Is 99399 divisible by 19?
  5. 5.Is 72585 divisible by 15?
  6. 6.Is 10196 divisible by 6?
  7. 7.Is 39568 divisible by 10?
  8. 8.Is 30095 divisible by 24?
  9. 9.Is 72218 divisible by 17?
  10. 10.Is 38709 divisible by 6?
  11. 11.Is 46574 divisible by 29?
  12. 12.Is 37077 divisible by 17?
  13. 13.Is 11285 divisible by 6?
  14. 14.Is 60400 divisible by 10?
  15. 15.Is 33336 divisible by 18?
  16. 16.Is 10683 divisible by 29?
  17. 17.Is 13156 divisible by 4?
  18. 18.Is 76296 divisible by 11?
  19. 19.Is 163680 divisible by 24?
  20. 20.Is 103632 divisible by 24?
  21. 21.Is 40404 divisible by 12?
  22. 22.Is 13158 divisible by 3?
  23. 23.Is 19267 divisible by 4?
  24. 24.Is 1963 divisible by 13?
  25. 25.Is 18516 divisible by 5?
  26. 26.Is 25399 divisible by 11?
  27. 27.Is 14096 divisible by 24?
  28. 28.Is 3388 divisible by 11?
  29. 29.Is 106973 divisible by 23?
  30. 30.Is 3427 divisible by 3?
  31. 31.Is 20916 divisible by 4?
  32. 32.Is 18459 divisible by 5?
  33. 33.Is 5219 divisible by 6?
  34. 34.Is 48255 divisible by 15?
  35. 35.Is 47296 divisible by 8?
  36. 36.Is 9120 divisible by 30?
  37. 37.Is 135140 divisible by 24?
  38. 38.Is 136698 divisible by 30?
  39. 39.Is 51942 divisible by 9?
  40. 40.Is 4758 divisible by 6?

Answer key

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

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