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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 928 · 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 7714 divisible by 2?
  2. 2.Is 54481 divisible by 11?
  3. 3.Is 9425 divisible by 13?
  4. 4.Is 12793 divisible by 2?
  5. 5.Is 60225 divisible by 15?
  6. 6.Is 12697 divisible by 3?
  7. 7.Is 46600 divisible by 29?
  8. 8.Is 14141 divisible by 5?
  9. 9.Is 12563 divisible by 2?
  10. 10.Is 62179 divisible by 11?
  11. 11.Is 54952 divisible by 23?
  12. 12.Is 31449 divisible by 6?
  13. 13.Is 67613 divisible by 15?
  14. 14.Is 12173 divisible by 24?
  15. 15.Is 17583 divisible by 12?
  16. 16.Is 28483 divisible by 18?
  17. 17.Is 92055 divisible by 17?
  18. 18.Is 2199 divisible by 2?
  19. 19.Is 35922 divisible by 8?
  20. 20.Is 6141 divisible by 10?
  21. 21.Is 2011 divisible by 2?
  22. 22.Is 12996 divisible by 20?
  23. 23.Is 8350 divisible by 11?
  24. 24.Is 9735 divisible by 24?
  25. 25.Is 19437 divisible by 3?
  26. 26.Is 18520 divisible by 10?
  27. 27.Is 98774 divisible by 17?
  28. 28.Is 52689 divisible by 10?
  29. 29.Is 78413 divisible by 19?
  30. 30.Is 13160 divisible by 3?
  31. 31.Is 24973 divisible by 13?
  32. 32.Is 12291 divisible by 15?
  33. 33.Is 52668 divisible by 12?
  34. 34.Is 4760 divisible by 3?
  35. 35.Is 34767 divisible by 9?
  36. 36.Is 11443 divisible by 4?
  37. 37.Is 11716 divisible by 4?
  38. 38.Is 6755 divisible by 4?
  39. 39.Is 9246 divisible by 3?
  40. 40.Is 64810 divisible by 20?

Answer key

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

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