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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 479 · 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 36400 divisible by 10?
  2. 2.Is 129150 divisible by 23?
  3. 3.Is 17635 divisible by 4?
  4. 4.Is 72006 divisible by 11?
  5. 5.Is 10539 divisible by 2?
  6. 6.Is 5236 divisible by 12?
  7. 7.Is 18840 divisible by 24?
  8. 8.Is 15680 divisible by 7?
  9. 9.Is 39774 divisible by 6?
  10. 10.Is 9547 divisible by 5?
  11. 11.Is 41458 divisible by 18?
  12. 12.Is 57417 divisible by 13?
  13. 13.Is 3475 divisible by 5?
  14. 14.Is 143177 divisible by 23?
  15. 15.Is 34206 divisible by 20?
  16. 16.Is 38866 divisible by 8?
  17. 17.Is 5999 divisible by 2?
  18. 18.Is 103593 divisible by 17?
  19. 19.Is 4981 divisible by 6?
  20. 20.Is 80440 divisible by 20?
  21. 21.Is 806 divisible by 2?
  22. 22.Is 4749 divisible by 6?
  23. 23.Is 150198 divisible by 23?
  24. 24.Is 23449 divisible by 11?
  25. 25.Is 31063 divisible by 10?
  26. 26.Is 16140 divisible by 20?
  27. 27.Is 114947 divisible by 17?
  28. 28.Is 13008 divisible by 6?
  29. 29.Is 39390 divisible by 6?
  30. 30.Is 53452 divisible by 18?
  31. 31.Is 27859 divisible by 11?
  32. 32.Is 64400 divisible by 20?
  33. 33.Is 154928 divisible by 29?
  34. 34.Is 28392 divisible by 12?
  35. 35.Is 31566 divisible by 6?
  36. 36.Is 40000 divisible by 10?
  37. 37.Is 172584 divisible by 30?
  38. 38.Is 194474 divisible by 29?
  39. 39.Is 13394 divisible by 20?
  40. 40.Is 6207 divisible by 9?

Answer key

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

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