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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 184 · 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 67480 divisible by 10?
  2. 2.Is 85086 divisible by 23?
  3. 3.Is 46645 divisible by 19?
  4. 4.Is 8241 divisible by 8?
  5. 5.Is 125959 divisible by 19?
  6. 6.Is 3086 divisible by 2?
  7. 7.Is 15320 divisible by 10?
  8. 8.Is 45958 divisible by 10?
  9. 9.Is 12529 divisible by 3?
  10. 10.Is 89097 divisible by 24?
  11. 11.Is 27916 divisible by 5?
  12. 12.Is 36066 divisible by 29?
  13. 13.Is 11929 divisible by 2?
  14. 14.Is 22152 divisible by 4?
  15. 15.Is 99912 divisible by 23?
  16. 16.Is 57339 divisible by 9?
  17. 17.Is 9014 divisible by 8?
  18. 18.Is 10679 divisible by 2?
  19. 19.Is 3975 divisible by 15?
  20. 20.Is 26837 divisible by 24?
  21. 21.Is 66324 divisible by 30?
  22. 22.Is 9612 divisible by 12?
  23. 23.Is 59205 divisible by 10?
  24. 24.Is 116674 divisible by 29?
  25. 25.Is 5164 divisible by 4?
  26. 26.Is 15546 divisible by 6?
  27. 27.Is 7740 divisible by 10?
  28. 28.Is 9878 divisible by 24?
  29. 29.Is 16981 divisible by 4?
  30. 30.Is 345 divisible by 12?
  31. 31.Is 98721 divisible by 15?
  32. 32.Is 164716 divisible by 24?
  33. 33.Is 28093 divisible by 8?
  34. 34.Is 51432 divisible by 24?
  35. 35.Is 9794 divisible by 15?
  36. 36.Is 34976 divisible by 8?
  37. 37.Is 160830 divisible by 30?
  38. 38.Is 16265 divisible by 4?
  39. 39.Is 31370 divisible by 7?
  40. 40.Is 30565 divisible by 5?

Answer key

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

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