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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 587 · 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 69768 divisible by 24?
  2. 2.Is 16048 divisible by 5?
  3. 3.Is 177960 divisible by 30?
  4. 4.Is 57020 divisible by 20?
  5. 5.Is 22126 divisible by 19?
  6. 6.Is 12775 divisible by 2?
  7. 7.Is 1105 divisible by 9?
  8. 8.Is 5910 divisible by 7?
  9. 9.Is 9240 divisible by 2?
  10. 10.Is 90925 divisible by 20?
  11. 11.Is 13090 divisible by 9?
  12. 12.Is 61983 divisible by 9?
  13. 13.Is 260 divisible by 4?
  14. 14.Is 12079 divisible by 3?
  15. 15.Is 34605 divisible by 15?
  16. 16.Is 2588 divisible by 5?
  17. 17.Is 61978 divisible by 19?
  18. 18.Is 2989 divisible by 7?
  19. 19.Is 27008 divisible by 8?
  20. 20.Is 44232 divisible by 12?
  21. 21.Is 1364 divisible by 4?
  22. 22.Is 91998 divisible by 18?
  23. 23.Is 22829 divisible by 13?
  24. 24.Is 109962 divisible by 18?
  25. 25.Is 11459 divisible by 7?
  26. 26.Is 60050 divisible by 13?
  27. 27.Is 91469 divisible by 20?
  28. 28.Is 60628 divisible by 23?
  29. 29.Is 33611 divisible by 19?
  30. 30.Is 88290 divisible by 30?
  31. 31.Is 66314 divisible by 12?
  32. 32.Is 1019 divisible by 5?
  33. 33.Is 67309 divisible by 17?
  34. 34.Is 73296 divisible by 15?
  35. 35.Is 102864 divisible by 24?
  36. 36.Is 47439 divisible by 8?
  37. 37.Is 19272 divisible by 30?
  38. 38.Is 96264 divisible by 24?
  39. 39.Is 12906 divisible by 9?
  40. 40.Is 14675 divisible by 5?

Answer key

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

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