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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 311 · 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 25883 divisible by 13?
  2. 2.Is 39173 divisible by 13?
  3. 3.Is 1031 divisible by 2?
  4. 4.Is 13775 divisible by 5?
  5. 5.Is 33234 divisible by 29?
  6. 6.Is 7511 divisible by 2?
  7. 7.Is 24288 divisible by 9?
  8. 8.Is 20721 divisible by 18?
  9. 9.Is 8192 divisible by 5?
  10. 10.Is 67116 divisible by 12?
  11. 11.Is 58187 divisible by 10?
  12. 12.Is 76458 divisible by 23?
  13. 13.Is 42190 divisible by 10?
  14. 14.Is 34101 divisible by 6?
  15. 15.Is 44281 divisible by 13?
  16. 16.Is 33959 divisible by 15?
  17. 17.Is 133599 divisible by 20?
  18. 18.Is 27940 divisible by 4?
  19. 19.Is 7777 divisible by 4?
  20. 20.Is 27660 divisible by 10?
  21. 21.Is 31542 divisible by 13?
  22. 22.Is 1524 divisible by 12?
  23. 23.Is 11377 divisible by 12?
  24. 24.Is 5838 divisible by 18?
  25. 25.Is 27020 divisible by 7?
  26. 26.Is 32110 divisible by 13?
  27. 27.Is 9009 divisible by 11?
  28. 28.Is 24004 divisible by 5?
  29. 29.Is 10791 divisible by 11?
  30. 30.Is 38248 divisible by 13?
  31. 31.Is 92433 divisible by 20?
  32. 32.Is 14426 divisible by 11?
  33. 33.Is 1098 divisible by 18?
  34. 34.Is 166060 divisible by 24?
  35. 35.Is 62201 divisible by 18?
  36. 36.Is 5111 divisible by 4?
  37. 37.Is 2151 divisible by 6?
  38. 38.Is 18410 divisible by 5?
  39. 39.Is 82200 divisible by 20?
  40. 40.Is 28509 divisible by 17?

Answer key

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

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