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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 39 · 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 44217 divisible by 10?
  2. 2.Is 77112 divisible by 17?
  3. 3.Is 10016 divisible by 6?
  4. 4.Is 18041 divisible by 7?
  5. 5.Is 44701 divisible by 7?
  6. 6.Is 85900 divisible by 20?
  7. 7.Is 94914 divisible by 18?
  8. 8.Is 20307 divisible by 7?
  9. 9.Is 6403 divisible by 19?
  10. 10.Is 3259 divisible by 2?
  11. 11.Is 39282 divisible by 20?
  12. 12.Is 8369 divisible by 4?
  13. 13.Is 14334 divisible by 20?
  14. 14.Is 114853 divisible by 20?
  15. 15.Is 26470 divisible by 5?
  16. 16.Is 10088 divisible by 8?
  17. 17.Is 10991 divisible by 29?
  18. 18.Is 31890 divisible by 30?
  19. 19.Is 925 divisible by 2?
  20. 20.Is 20763 divisible by 3?
  21. 21.Is 5712 divisible by 15?
  22. 22.Is 7462 divisible by 13?
  23. 23.Is 5349 divisible by 4?
  24. 24.Is 47278 divisible by 7?
  25. 25.Is 34850 divisible by 19?
  26. 26.Is 4334 divisible by 3?
  27. 27.Is 98196 divisible by 15?
  28. 28.Is 17852 divisible by 15?
  29. 29.Is 18501 divisible by 3?
  30. 30.Is 78360 divisible by 30?
  31. 31.Is 59069 divisible by 10?
  32. 32.Is 2471 divisible by 10?
  33. 33.Is 15847 divisible by 4?
  34. 34.Is 14781 divisible by 13?
  35. 35.Is 9120 divisible by 19?
  36. 36.Is 10017 divisible by 2?
  37. 37.Is 4714 divisible by 2?
  38. 38.Is 28716 divisible by 11?
  39. 39.Is 80136 divisible by 12?
  40. 40.Is 6113 divisible by 13?

Answer key

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

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