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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 903 · 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 12961 divisible by 3?
  2. 2.Is 22152 divisible by 13?
  3. 3.Is 6169 divisible by 7?
  4. 4.Is 133752 divisible by 24?
  5. 5.Is 11722 divisible by 2?
  6. 6.Is 175 divisible by 7?
  7. 7.Is 37596 divisible by 12?
  8. 8.Is 4060 divisible by 2?
  9. 9.Is 154171 divisible by 23?
  10. 10.Is 3190 divisible by 2?
  11. 11.Is 52824 divisible by 9?
  12. 12.Is 192487 divisible by 29?
  13. 13.Is 70468 divisible by 24?
  14. 14.Is 6122 divisible by 2?
  15. 15.Is 30510 divisible by 11?
  16. 16.Is 19508 divisible by 11?
  17. 17.Is 143719 divisible by 23?
  18. 18.Is 96835 divisible by 18?
  19. 19.Is 66992 divisible by 17?
  20. 20.Is 22028 divisible by 4?
  21. 21.Is 73879 divisible by 12?
  22. 22.Is 9794 divisible by 2?
  23. 23.Is 50464 divisible by 20?
  24. 24.Is 12262 divisible by 11?
  25. 25.Is 104574 divisible by 18?
  26. 26.Is 41103 divisible by 6?
  27. 27.Is 11201 divisible by 2?
  28. 28.Is 100776 divisible by 19?
  29. 29.Is 6780 divisible by 15?
  30. 30.Is 493 divisible by 3?
  31. 31.Is 139178 divisible by 30?
  32. 32.Is 4954 divisible by 5?
  33. 33.Is 45443 divisible by 8?
  34. 34.Is 39173 divisible by 6?
  35. 35.Is 4803 divisible by 3?
  36. 36.Is 11834 divisible by 4?
  37. 37.Is 1989 divisible by 15?
  38. 38.Is 67191 divisible by 19?
  39. 39.Is 11358 divisible by 3?
  40. 40.Is 96941 divisible by 23?

Answer key

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

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