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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 567 · 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 184730 divisible by 29?
  2. 2.Is 6850 divisible by 10?
  3. 3.Is 76318 divisible by 13?
  4. 4.Is 27471 divisible by 15?
  5. 5.Is 41380 divisible by 12?
  6. 6.Is 58380 divisible by 30?
  7. 7.Is 14041 divisible by 19?
  8. 8.Is 8008 divisible by 7?
  9. 9.Is 19110 divisible by 3?
  10. 10.Is 11919 divisible by 2?
  11. 11.Is 46958 divisible by 20?
  12. 12.Is 10143 divisible by 2?
  13. 13.Is 71296 divisible by 30?
  14. 14.Is 30390 divisible by 10?
  15. 15.Is 18986 divisible by 19?
  16. 16.Is 26233 divisible by 4?
  17. 17.Is 1425 divisible by 5?
  18. 18.Is 12418 divisible by 7?
  19. 19.Is 74925 divisible by 30?
  20. 20.Is 9716 divisible by 11?
  21. 21.Is 96554 divisible by 20?
  22. 22.Is 75300 divisible by 12?
  23. 23.Is 68935 divisible by 12?
  24. 24.Is 7875 divisible by 15?
  25. 25.Is 53097 divisible by 11?
  26. 26.Is 8274 divisible by 7?
  27. 27.Is 7621 divisible by 2?
  28. 28.Is 65789 divisible by 13?
  29. 29.Is 4437 divisible by 29?
  30. 30.Is 7771 divisible by 12?
  31. 31.Is 17914 divisible by 13?
  32. 32.Is 57270 divisible by 23?
  33. 33.Is 19600 divisible by 10?
  34. 34.Is 19037 divisible by 4?
  35. 35.Is 29792 divisible by 19?
  36. 36.Is 14538 divisible by 12?
  37. 37.Is 33048 divisible by 18?
  38. 38.Is 10085 divisible by 2?
  39. 39.Is 9642 divisible by 6?
  40. 40.Is 161304 divisible by 24?

Answer key

  1. yes
  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. yes
  15. no
  16. no
  17. yes
  18. yes
  19. no
  20. no
  21. no
  22. yes
  23. no
  24. yes
  25. yes
  26. yes
  27. no
  28. no
  29. yes
  30. no
  31. yes
  32. yes
  33. yes
  34. no
  35. yes
  36. no
  37. yes
  38. no
  39. yes
  40. yes

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