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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 834 · 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 46838 divisible by 11?
  2. 2.Is 19030 divisible by 3?
  3. 3.Is 2489 divisible by 2?
  4. 4.Is 25649 divisible by 19?
  5. 5.Is 53314 divisible by 20?
  6. 6.Is 1935 divisible by 2?
  7. 7.Is 54900 divisible by 17?
  8. 8.Is 27645 divisible by 5?
  9. 9.Is 279 divisible by 7?
  10. 10.Is 8992 divisible by 3?
  11. 11.Is 123900 divisible by 30?
  12. 12.Is 40363 divisible by 8?
  13. 13.Is 22653 divisible by 7?
  14. 14.Is 4757 divisible by 19?
  15. 15.Is 17829 divisible by 4?
  16. 16.Is 31073 divisible by 23?
  17. 17.Is 47839 divisible by 7?
  18. 18.Is 42846 divisible by 8?
  19. 19.Is 138721 divisible by 23?
  20. 20.Is 12173 divisible by 24?
  21. 21.Is 42660 divisible by 12?
  22. 22.Is 54624 divisible by 24?
  23. 23.Is 10425 divisible by 4?
  24. 24.Is 60671 divisible by 13?
  25. 25.Is 44143 divisible by 11?
  26. 26.Is 10665 divisible by 5?
  27. 27.Is 2417 divisible by 9?
  28. 28.Is 27143 divisible by 4?
  29. 29.Is 1562 divisible by 15?
  30. 30.Is 5720 divisible by 13?
  31. 31.Is 195 divisible by 11?
  32. 32.Is 871 divisible by 2?
  33. 33.Is 47668 divisible by 11?
  34. 34.Is 118801 divisible by 18?
  35. 35.Is 46391 divisible by 23?
  36. 36.Is 14122 divisible by 7?
  37. 37.Is 25001 divisible by 23?
  38. 38.Is 32500 divisible by 8?
  39. 39.Is 11538 divisible by 3?
  40. 40.Is 576 divisible by 19?

Answer key

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

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