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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 353 · 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 2205 divisible by 9?
  2. 2.Is 110704 divisible by 17?
  3. 3.Is 9711 divisible by 10?
  4. 4.Is 104502 divisible by 20?
  5. 5.Is 8010 divisible by 10?
  6. 6.Is 11229 divisible by 5?
  7. 7.Is 78889 divisible by 17?
  8. 8.Is 4224 divisible by 8?
  9. 9.Is 50918 divisible by 13?
  10. 10.Is 94986 divisible by 17?
  11. 11.Is 10356 divisible by 4?
  12. 12.Is 24225 divisible by 13?
  13. 13.Is 51279 divisible by 15?
  14. 14.Is 59925 divisible by 17?
  15. 15.Is 159697 divisible by 23?
  16. 16.Is 47995 divisible by 17?
  17. 17.Is 10666 divisible by 12?
  18. 18.Is 28070 divisible by 5?
  19. 19.Is 16325 divisible by 23?
  20. 20.Is 14215 divisible by 5?
  21. 21.Is 107916 divisible by 23?
  22. 22.Is 27408 divisible by 6?
  23. 23.Is 46152 divisible by 24?
  24. 24.Is 9921 divisible by 9?
  25. 25.Is 4470 divisible by 15?
  26. 26.Is 44783 divisible by 29?
  27. 27.Is 54379 divisible by 13?
  28. 28.Is 750 divisible by 5?
  29. 29.Is 3490 divisible by 3?
  30. 30.Is 161324 divisible by 24?
  31. 31.Is 46217 divisible by 12?
  32. 32.Is 87637 divisible by 18?
  33. 33.Is 1289 divisible by 3?
  34. 34.Is 34700 divisible by 19?
  35. 35.Is 104112 divisible by 18?
  36. 36.Is 41340 divisible by 12?
  37. 37.Is 113666 divisible by 17?
  38. 38.Is 19368 divisible by 24?
  39. 39.Is 76400 divisible by 11?
  40. 40.Is 9342 divisible by 5?

Answer key

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

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