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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 423 · 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 29865 divisible by 5?
  2. 2.Is 2051 divisible by 10?
  3. 3.Is 26272 divisible by 4?
  4. 4.Is 134424 divisible by 24?
  5. 5.Is 31452 divisible by 6?
  6. 6.Is 6224 divisible by 3?
  7. 7.Is 31048 divisible by 7?
  8. 8.Is 45072 divisible by 8?
  9. 9.Is 9550 divisible by 3?
  10. 10.Is 37056 divisible by 24?
  11. 11.Is 24980 divisible by 6?
  12. 12.Is 7604 divisible by 4?
  13. 13.Is 72171 divisible by 24?
  14. 14.Is 32623 divisible by 13?
  15. 15.Is 122069 divisible by 30?
  16. 16.Is 3924 divisible by 8?
  17. 17.Is 68309 divisible by 24?
  18. 18.Is 66996 divisible by 12?
  19. 19.Is 1552 divisible by 2?
  20. 20.Is 21500 divisible by 10?
  21. 21.Is 15277 divisible by 4?
  22. 22.Is 43512 divisible by 24?
  23. 23.Is 67418 divisible by 10?
  24. 24.Is 46956 divisible by 29?
  25. 25.Is 2975 divisible by 19?
  26. 26.Is 20538 divisible by 18?
  27. 27.Is 23970 divisible by 10?
  28. 28.Is 27389 divisible by 4?
  29. 29.Is 97969 divisible by 17?
  30. 30.Is 22909 divisible by 4?
  31. 31.Is 40264 divisible by 6?
  32. 32.Is 9043 divisible by 18?
  33. 33.Is 23618 divisible by 6?
  34. 34.Is 70524 divisible by 18?
  35. 35.Is 155112 divisible by 23?
  36. 36.Is 83411 divisible by 12?
  37. 37.Is 20016 divisible by 6?
  38. 38.Is 54468 divisible by 18?
  39. 39.Is 46456 divisible by 8?
  40. 40.Is 4931 divisible by 15?

Answer key

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

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