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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 93 · 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 1594 divisible by 7?
  2. 2.Is 136184 divisible by 24?
  3. 3.Is 2575 divisible by 4?
  4. 4.Is 94608 divisible by 24?
  5. 5.Is 124480 divisible by 20?
  6. 6.Is 5756 divisible by 3?
  7. 7.Is 5436 divisible by 18?
  8. 8.Is 7047 divisible by 2?
  9. 9.Is 17216 divisible by 11?
  10. 10.Is 15810 divisible by 15?
  11. 11.Is 3472 divisible by 2?
  12. 12.Is 50861 divisible by 23?
  13. 13.Is 69120 divisible by 10?
  14. 14.Is 186922 divisible by 30?
  15. 15.Is 411 divisible by 3?
  16. 16.Is 18508 divisible by 7?
  17. 17.Is 15126 divisible by 3?
  18. 18.Is 97587 divisible by 30?
  19. 19.Is 134435 divisible by 24?
  20. 20.Is 73050 divisible by 30?
  21. 21.Is 24063 divisible by 7?
  22. 22.Is 28112 divisible by 15?
  23. 23.Is 102510 divisible by 30?
  24. 24.Is 5750 divisible by 7?
  25. 25.Is 18144 divisible by 4?
  26. 26.Is 3057 divisible by 4?
  27. 27.Is 14899 divisible by 5?
  28. 28.Is 26648 divisible by 4?
  29. 29.Is 38447 divisible by 8?
  30. 30.Is 117714 divisible by 18?
  31. 31.Is 9499 divisible by 3?
  32. 32.Is 3863 divisible by 5?
  33. 33.Is 119458 divisible by 29?
  34. 34.Is 38088 divisible by 8?
  35. 35.Is 35323 divisible by 12?
  36. 36.Is 49011 divisible by 8?
  37. 37.Is 11996 divisible by 20?
  38. 38.Is 130050 divisible by 30?
  39. 39.Is 25829 divisible by 7?
  40. 40.Is 16588 divisible by 13?

Answer key

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

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