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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 782 · 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 9668 divisible by 12?
  2. 2.Is 7309 divisible by 3?
  3. 3.Is 2710 divisible by 4?
  4. 4.Is 9149 divisible by 3?
  5. 5.Is 8230 divisible by 2?
  6. 6.Is 8215 divisible by 7?
  7. 7.Is 145429 divisible by 23?
  8. 8.Is 6322 divisible by 3?
  9. 9.Is 21010 divisible by 8?
  10. 10.Is 20710 divisible by 9?
  11. 11.Is 41870 divisible by 6?
  12. 12.Is 47520 divisible by 9?
  13. 13.Is 16893 divisible by 9?
  14. 14.Is 38434 divisible by 29?
  15. 15.Is 21750 divisible by 10?
  16. 16.Is 16481 divisible by 23?
  17. 17.Is 89638 divisible by 19?
  18. 18.Is 27717 divisible by 4?
  19. 19.Is 29342 divisible by 17?
  20. 20.Is 108656 divisible by 19?
  21. 21.Is 7560 divisible by 3?
  22. 22.Is 59026 divisible by 11?
  23. 23.Is 74934 divisible by 11?
  24. 24.Is 28717 divisible by 13?
  25. 25.Is 39120 divisible by 24?
  26. 26.Is 83880 divisible by 20?
  27. 27.Is 43220 divisible by 20?
  28. 28.Is 5088 divisible by 12?
  29. 29.Is 80978 divisible by 19?
  30. 30.Is 5006 divisible by 6?
  31. 31.Is 56435 divisible by 24?
  32. 32.Is 3208 divisible by 3?
  33. 33.Is 17618 divisible by 19?
  34. 34.Is 57710 divisible by 29?
  35. 35.Is 24176 divisible by 5?
  36. 36.Is 12357 divisible by 9?
  37. 37.Is 7172 divisible by 11?
  38. 38.Is 17377 divisible by 4?
  39. 39.Is 48350 divisible by 12?
  40. 40.Is 11168 divisible by 2?

Answer key

  1. no
  2. no
  3. no
  4. no
  5. yes
  6. no
  7. yes
  8. no
  9. no
  10. no
  11. no
  12. yes
  13. yes
  14. no
  15. yes
  16. no
  17. no
  18. no
  19. yes
  20. no
  21. yes
  22. yes
  23. no
  24. yes
  25. yes
  26. yes
  27. yes
  28. yes
  29. yes
  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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