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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 159 · 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 11756 divisible by 2?
  2. 2.Is 42517 divisible by 17?
  3. 3.Is 2120 divisible by 8?
  4. 4.Is 88695 divisible by 15?
  5. 5.Is 8534 divisible by 3?
  6. 6.Is 18516 divisible by 12?
  7. 7.Is 7488 divisible by 8?
  8. 8.Is 89700 divisible by 20?
  9. 9.Is 20354 divisible by 9?
  10. 10.Is 72143 divisible by 18?
  11. 11.Is 62024 divisible by 18?
  12. 12.Is 59381 divisible by 11?
  13. 13.Is 46809 divisible by 9?
  14. 14.Is 5346 divisible by 9?
  15. 15.Is 147642 divisible by 24?
  16. 16.Is 13520 divisible by 5?
  17. 17.Is 37667 divisible by 7?
  18. 18.Is 29395 divisible by 18?
  19. 19.Is 20473 divisible by 12?
  20. 20.Is 42592 divisible by 8?
  21. 21.Is 87398 divisible by 15?
  22. 22.Is 13865 divisible by 2?
  23. 23.Is 30212 divisible by 19?
  24. 24.Is 43935 divisible by 29?
  25. 25.Is 1029 divisible by 23?
  26. 26.Is 83733 divisible by 13?
  27. 27.Is 6900 divisible by 3?
  28. 28.Is 8988 divisible by 2?
  29. 29.Is 86260 divisible by 20?
  30. 30.Is 8820 divisible by 10?
  31. 31.Is 13728 divisible by 2?
  32. 32.Is 34230 divisible by 13?
  33. 33.Is 10480 divisible by 5?
  34. 34.Is 848 divisible by 17?
  35. 35.Is 126816 divisible by 23?
  36. 36.Is 8930 divisible by 11?
  37. 37.Is 11650 divisible by 5?
  38. 38.Is 19382 divisible by 5?
  39. 39.Is 31041 divisible by 29?
  40. 40.Is 39894 divisible by 8?

Answer key

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

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