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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 869 · 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 24959 divisible by 4?
  2. 2.Is 12853 divisible by 24?
  3. 3.Is 29652 divisible by 6?
  4. 4.Is 13436 divisible by 6?
  5. 5.Is 15345 divisible by 4?
  6. 6.Is 9966 divisible by 6?
  7. 7.Is 8127 divisible by 3?
  8. 8.Is 15678 divisible by 6?
  9. 9.Is 102978 divisible by 15?
  10. 10.Is 108905 divisible by 23?
  11. 11.Is 50416 divisible by 23?
  12. 12.Is 126295 divisible by 24?
  13. 13.Is 51323 divisible by 10?
  14. 14.Is 3857 divisible by 2?
  15. 15.Is 26648 divisible by 8?
  16. 16.Is 19429 divisible by 3?
  17. 17.Is 9950 divisible by 10?
  18. 18.Is 20637 divisible by 12?
  19. 19.Is 9329 divisible by 10?
  20. 20.Is 24134 divisible by 11?
  21. 21.Is 202043 divisible by 29?
  22. 22.Is 25650 divisible by 18?
  23. 23.Is 81486 divisible by 18?
  24. 24.Is 26042 divisible by 8?
  25. 25.Is 52000 divisible by 13?
  26. 26.Is 28200 divisible by 10?
  27. 27.Is 61318 divisible by 13?
  28. 28.Is 9740 divisible by 11?
  29. 29.Is 67200 divisible by 20?
  30. 30.Is 38946 divisible by 7?
  31. 31.Is 4945 divisible by 11?
  32. 32.Is 112524 divisible by 19?
  33. 33.Is 130474 divisible by 30?
  34. 34.Is 25884 divisible by 6?
  35. 35.Is 21712 divisible by 8?
  36. 36.Is 29386 divisible by 7?
  37. 37.Is 39040 divisible by 11?
  38. 38.Is 12363 divisible by 2?
  39. 39.Is 56965 divisible by 29?
  40. 40.Is 75205 divisible by 13?

Answer key

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

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