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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 363 · 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 39900 divisible by 6?
  2. 2.Is 26159 divisible by 5?
  3. 3.Is 82304 divisible by 17?
  4. 4.Is 61500 divisible by 12?
  5. 5.Is 76463 divisible by 11?
  6. 6.Is 12920 divisible by 17?
  7. 7.Is 6424 divisible by 20?
  8. 8.Is 81618 divisible by 23?
  9. 9.Is 7991 divisible by 2?
  10. 10.Is 83233 divisible by 29?
  11. 11.Is 17604 divisible by 9?
  12. 12.Is 40001 divisible by 17?
  13. 13.Is 104299 divisible by 17?
  14. 14.Is 63635 divisible by 13?
  15. 15.Is 25028 divisible by 17?
  16. 16.Is 116185 divisible by 19?
  17. 17.Is 27896 divisible by 4?
  18. 18.Is 59119 divisible by 20?
  19. 19.Is 268 divisible by 4?
  20. 20.Is 375 divisible by 2?
  21. 21.Is 20104 divisible by 3?
  22. 22.Is 22736 divisible by 7?
  23. 23.Is 26569 divisible by 4?
  24. 24.Is 107889 divisible by 20?
  25. 25.Is 38376 divisible by 12?
  26. 26.Is 10934 divisible by 11?
  27. 27.Is 50438 divisible by 9?
  28. 28.Is 128132 divisible by 24?
  29. 29.Is 28882 divisible by 7?
  30. 30.Is 40398 divisible by 6?
  31. 31.Is 9594 divisible by 6?
  32. 32.Is 131236 divisible by 29?
  33. 33.Is 18120 divisible by 12?
  34. 34.Is 68417 divisible by 29?
  35. 35.Is 60768 divisible by 10?
  36. 36.Is 58938 divisible by 19?
  37. 37.Is 34669 divisible by 20?
  38. 38.Is 102999 divisible by 19?
  39. 39.Is 22947 divisible by 7?
  40. 40.Is 20418 divisible by 11?

Answer key

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

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