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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 127 · 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 9382 divisible by 7?
  2. 2.Is 19612 divisible by 3?
  3. 3.Is 849 divisible by 11?
  4. 4.Is 14461 divisible by 3?
  5. 5.Is 3655 divisible by 5?
  6. 6.Is 16448 divisible by 20?
  7. 7.Is 1029 divisible by 5?
  8. 8.Is 1120 divisible by 7?
  9. 9.Is 105105 divisible by 20?
  10. 10.Is 43590 divisible by 10?
  11. 11.Is 9790 divisible by 5?
  12. 12.Is 25272 divisible by 9?
  13. 13.Is 11203 divisible by 2?
  14. 14.Is 74904 divisible by 12?
  15. 15.Is 5291 divisible by 11?
  16. 16.Is 22674 divisible by 6?
  17. 17.Is 27942 divisible by 5?
  18. 18.Is 7826 divisible by 13?
  19. 19.Is 24535 divisible by 5?
  20. 20.Is 123372 divisible by 18?
  21. 21.Is 11309 divisible by 4?
  22. 22.Is 61910 divisible by 10?
  23. 23.Is 58315 divisible by 12?
  24. 24.Is 23815 divisible by 18?
  25. 25.Is 191 divisible by 8?
  26. 26.Is 31625 divisible by 17?
  27. 27.Is 42216 divisible by 8?
  28. 28.Is 182770 divisible by 30?
  29. 29.Is 39234 divisible by 6?
  30. 30.Is 832 divisible by 2?
  31. 31.Is 68696 divisible by 10?
  32. 32.Is 69426 divisible by 19?
  33. 33.Is 78066 divisible by 29?
  34. 34.Is 53130 divisible by 11?
  35. 35.Is 82824 divisible by 29?
  36. 36.Is 665 divisible by 7?
  37. 37.Is 121371 divisible by 20?
  38. 38.Is 167670 divisible by 24?
  39. 39.Is 1770 divisible by 8?
  40. 40.Is 55627 divisible by 10?

Answer key

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

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