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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 360 · 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 11055 divisible by 2?
  2. 2.Is 66002 divisible by 13?
  3. 3.Is 7801 divisible by 2?
  4. 4.Is 16696 divisible by 3?
  5. 5.Is 6574 divisible by 4?
  6. 6.Is 20589 divisible by 6?
  7. 7.Is 49675 divisible by 12?
  8. 8.Is 41048 divisible by 8?
  9. 9.Is 53879 divisible by 17?
  10. 10.Is 46161 divisible by 9?
  11. 11.Is 5595 divisible by 15?
  12. 12.Is 31353 divisible by 7?
  13. 13.Is 15851 divisible by 11?
  14. 14.Is 3086 divisible by 4?
  15. 15.Is 9202 divisible by 3?
  16. 16.Is 13051 divisible by 17?
  17. 17.Is 1656 divisible by 24?
  18. 18.Is 15129 divisible by 8?
  19. 19.Is 13452 divisible by 12?
  20. 20.Is 16681 divisible by 7?
  21. 21.Is 69476 divisible by 11?
  22. 22.Is 23421 divisible by 12?
  23. 23.Is 16848 divisible by 24?
  24. 24.Is 48303 divisible by 10?
  25. 25.Is 12920 divisible by 17?
  26. 26.Is 77326 divisible by 23?
  27. 27.Is 37805 divisible by 18?
  28. 28.Is 60984 divisible by 12?
  29. 29.Is 8746 divisible by 2?
  30. 30.Is 26610 divisible by 10?
  31. 31.Is 99059 divisible by 17?
  32. 32.Is 53343 divisible by 15?
  33. 33.Is 14580 divisible by 20?
  34. 34.Is 3363 divisible by 2?
  35. 35.Is 2299 divisible by 11?
  36. 36.Is 82662 divisible by 23?
  37. 37.Is 66951 divisible by 18?
  38. 38.Is 17524 divisible by 7?
  39. 39.Is 115380 divisible by 18?
  40. 40.Is 94231 divisible by 23?

Answer key

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

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