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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 989 · 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 540 divisible by 20?
  2. 2.Is 32793 divisible by 10?
  3. 3.Is 42471 divisible by 9?
  4. 4.Is 49392 divisible by 9?
  5. 5.Is 83256 divisible by 12?
  6. 6.Is 139035 divisible by 23?
  7. 7.Is 93487 divisible by 19?
  8. 8.Is 7648 divisible by 4?
  9. 9.Is 30218 divisible by 6?
  10. 10.Is 37700 divisible by 29?
  11. 11.Is 153060 divisible by 30?
  12. 12.Is 14893 divisible by 15?
  13. 13.Is 103139 divisible by 20?
  14. 14.Is 20098 divisible by 18?
  15. 15.Is 15673 divisible by 15?
  16. 16.Is 86700 divisible by 30?
  17. 17.Is 5678 divisible by 19?
  18. 18.Is 139639 divisible by 30?
  19. 19.Is 2975 divisible by 5?
  20. 20.Is 11080 divisible by 10?
  21. 21.Is 125465 divisible by 23?
  22. 22.Is 114367 divisible by 19?
  23. 23.Is 28053 divisible by 9?
  24. 24.Is 3780 divisible by 9?
  25. 25.Is 5202 divisible by 17?
  26. 26.Is 53130 divisible by 11?
  27. 27.Is 64218 divisible by 15?
  28. 28.Is 101859 divisible by 15?
  29. 29.Is 152304 divisible by 24?
  30. 30.Is 117011 divisible by 29?
  31. 31.Is 88373 divisible by 13?
  32. 32.Is 58084 divisible by 13?
  33. 33.Is 15342 divisible by 18?
  34. 34.Is 16434 divisible by 18?
  35. 35.Is 87914 divisible by 19?
  36. 36.Is 93327 divisible by 23?
  37. 37.Is 99313 divisible by 19?
  38. 38.Is 28082 divisible by 19?
  39. 39.Is 5933 divisible by 6?
  40. 40.Is 41067 divisible by 24?

Answer key

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

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