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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 773 · 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 595 divisible by 7?
  2. 2.Is 118218 divisible by 17?
  3. 3.Is 114202 divisible by 29?
  4. 4.Is 26486 divisible by 29?
  5. 5.Is 26725 divisible by 6?
  6. 6.Is 3982 divisible by 2?
  7. 7.Is 19260 divisible by 6?
  8. 8.Is 110037 divisible by 24?
  9. 9.Is 21353 divisible by 19?
  10. 10.Is 3905 divisible by 5?
  11. 11.Is 48286 divisible by 7?
  12. 12.Is 17073 divisible by 10?
  13. 13.Is 32260 divisible by 5?
  14. 14.Is 6424 divisible by 3?
  15. 15.Is 104715 divisible by 15?
  16. 16.Is 19103 divisible by 7?
  17. 17.Is 24353 divisible by 11?
  18. 18.Is 22500 divisible by 8?
  19. 19.Is 2229 divisible by 5?
  20. 20.Is 17734 divisible by 3?
  21. 21.Is 82363 divisible by 23?
  22. 22.Is 13479 divisible by 5?
  23. 23.Is 7530 divisible by 30?
  24. 24.Is 19411 divisible by 3?
  25. 25.Is 1413 divisible by 6?
  26. 26.Is 8011 divisible by 23?
  27. 27.Is 29512 divisible by 9?
  28. 28.Is 30923 divisible by 17?
  29. 29.Is 24878 divisible by 8?
  30. 30.Is 30192 divisible by 20?
  31. 31.Is 5852 divisible by 19?
  32. 32.Is 10345 divisible by 18?
  33. 33.Is 45205 divisible by 8?
  34. 34.Is 95627 divisible by 19?
  35. 35.Is 26100 divisible by 10?
  36. 36.Is 5874 divisible by 6?
  37. 37.Is 14406 divisible by 18?
  38. 38.Is 136578 divisible by 29?
  39. 39.Is 27804 divisible by 12?
  40. 40.Is 7459 divisible by 12?

Answer key

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

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