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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 247 · 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 9317 divisible by 2?
  2. 2.Is 13799 divisible by 19?
  3. 3.Is 94221 divisible by 29?
  4. 4.Is 5920 divisible by 8?
  5. 5.Is 85729 divisible by 29?
  6. 6.Is 3258 divisible by 3?
  7. 7.Is 52301 divisible by 20?
  8. 8.Is 48912 divisible by 12?
  9. 9.Is 52142 divisible by 29?
  10. 10.Is 27686 divisible by 4?
  11. 11.Is 63012 divisible by 13?
  12. 12.Is 7326 divisible by 3?
  13. 13.Is 54530 divisible by 30?
  14. 14.Is 94776 divisible by 24?
  15. 15.Is 63582 divisible by 20?
  16. 16.Is 34974 divisible by 5?
  17. 17.Is 28564 divisible by 10?
  18. 18.Is 4923 divisible by 17?
  19. 19.Is 11487 divisible by 7?
  20. 20.Is 10896 divisible by 8?
  21. 21.Is 1736 divisible by 7?
  22. 22.Is 38807 divisible by 9?
  23. 23.Is 55240 divisible by 20?
  24. 24.Is 14196 divisible by 12?
  25. 25.Is 18448 divisible by 4?
  26. 26.Is 205830 divisible by 30?
  27. 27.Is 62965 divisible by 29?
  28. 28.Is 22952 divisible by 12?
  29. 29.Is 9039 divisible by 23?
  30. 30.Is 19627 divisible by 19?
  31. 31.Is 15575 divisible by 6?
  32. 32.Is 89700 divisible by 23?
  33. 33.Is 139340 divisible by 20?
  34. 34.Is 15931 divisible by 11?
  35. 35.Is 35910 divisible by 18?
  36. 36.Is 27654 divisible by 24?
  37. 37.Is 83109 divisible by 13?
  38. 38.Is 38781 divisible by 7?
  39. 39.Is 21327 divisible by 4?
  40. 40.Is 9061 divisible by 2?

Answer key

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

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