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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 52 · 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 63066 divisible by 23?
  2. 2.Is 16685 divisible by 5?
  3. 3.Is 100704 divisible by 18?
  4. 4.Is 8938 divisible by 7?
  5. 5.Is 68063 divisible by 10?
  6. 6.Is 66465 divisible by 15?
  7. 7.Is 28325 divisible by 11?
  8. 8.Is 36562 divisible by 11?
  9. 9.Is 58880 divisible by 10?
  10. 10.Is 2171 divisible by 13?
  11. 11.Is 19591 divisible by 7?
  12. 12.Is 57296 divisible by 19?
  13. 13.Is 29990 divisible by 10?
  14. 14.Is 24760 divisible by 5?
  15. 15.Is 67380 divisible by 12?
  16. 16.Is 81202 divisible by 18?
  17. 17.Is 172926 divisible by 29?
  18. 18.Is 191425 divisible by 29?
  19. 19.Is 1027 divisible by 13?
  20. 20.Is 104081 divisible by 29?
  21. 21.Is 24164 divisible by 24?
  22. 22.Is 129865 divisible by 19?
  23. 23.Is 6975 divisible by 15?
  24. 24.Is 9459 divisible by 7?
  25. 25.Is 61509 divisible by 29?
  26. 26.Is 48056 divisible by 18?
  27. 27.Is 15498 divisible by 15?
  28. 28.Is 5308 divisible by 3?
  29. 29.Is 23280 divisible by 24?
  30. 30.Is 1313 divisible by 12?
  31. 31.Is 3244 divisible by 9?
  32. 32.Is 11011 divisible by 6?
  33. 33.Is 5549 divisible by 13?
  34. 34.Is 101830 divisible by 17?
  35. 35.Is 29304 divisible by 12?
  36. 36.Is 22097 divisible by 4?
  37. 37.Is 67526 divisible by 19?
  38. 38.Is 5436 divisible by 4?
  39. 39.Is 17742 divisible by 23?
  40. 40.Is 14034 divisible by 4?

Answer key

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

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