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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 912 · 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 19500 divisible by 4?
  2. 2.Is 151152 divisible by 24?
  3. 3.Is 3782 divisible by 19?
  4. 4.Is 4969 divisible by 6?
  5. 5.Is 88913 divisible by 23?
  6. 6.Is 154747 divisible by 29?
  7. 7.Is 16195 divisible by 9?
  8. 8.Is 122730 divisible by 24?
  9. 9.Is 8466 divisible by 15?
  10. 10.Is 10338 divisible by 6?
  11. 11.Is 16648 divisible by 3?
  12. 12.Is 64366 divisible by 13?
  13. 13.Is 35835 divisible by 15?
  14. 14.Is 60412 divisible by 24?
  15. 15.Is 84737 divisible by 29?
  16. 16.Is 55559 divisible by 15?
  17. 17.Is 12051 divisible by 4?
  18. 18.Is 11720 divisible by 3?
  19. 19.Is 11154 divisible by 8?
  20. 20.Is 105234 divisible by 24?
  21. 21.Is 14658 divisible by 3?
  22. 22.Is 83640 divisible by 12?
  23. 23.Is 186886 divisible by 30?
  24. 24.Is 60997 divisible by 19?
  25. 25.Is 8037 divisible by 18?
  26. 26.Is 46783 divisible by 12?
  27. 27.Is 4929 divisible by 3?
  28. 28.Is 11596 divisible by 15?
  29. 29.Is 56556 divisible by 12?
  30. 30.Is 62298 divisible by 9?
  31. 31.Is 20880 divisible by 29?
  32. 32.Is 23192 divisible by 13?
  33. 33.Is 67644 divisible by 12?
  34. 34.Is 50171 divisible by 17?
  35. 35.Is 8368 divisible by 4?
  36. 36.Is 1192 divisible by 4?
  37. 37.Is 8115 divisible by 7?
  38. 38.Is 10392 divisible by 8?
  39. 39.Is 16200 divisible by 9?
  40. 40.Is 10790 divisible by 4?

Answer key

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

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