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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 926 · 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 43760 divisible by 20?
  2. 2.Is 46926 divisible by 11?
  3. 3.Is 60226 divisible by 18?
  4. 4.Is 9011 divisible by 8?
  5. 5.Is 31848 divisible by 24?
  6. 6.Is 29359 divisible by 11?
  7. 7.Is 43888 divisible by 7?
  8. 8.Is 97280 divisible by 19?
  9. 9.Is 9442 divisible by 2?
  10. 10.Is 79145 divisible by 30?
  11. 11.Is 12627 divisible by 2?
  12. 12.Is 5340 divisible by 4?
  13. 13.Is 19084 divisible by 3?
  14. 14.Is 4971 divisible by 6?
  15. 15.Is 17513 divisible by 3?
  16. 16.Is 7218 divisible by 18?
  17. 17.Is 16216 divisible by 8?
  18. 18.Is 33980 divisible by 20?
  19. 19.Is 5994 divisible by 4?
  20. 20.Is 40733 divisible by 7?
  21. 21.Is 18986 divisible by 3?
  22. 22.Is 16662 divisible by 3?
  23. 23.Is 93585 divisible by 15?
  24. 24.Is 14903 divisible by 7?
  25. 25.Is 14955 divisible by 5?
  26. 26.Is 103965 divisible by 29?
  27. 27.Is 35681 divisible by 18?
  28. 28.Is 10243 divisible by 2?
  29. 29.Is 177161 divisible by 29?
  30. 30.Is 20475 divisible by 7?
  31. 31.Is 116774 divisible by 19?
  32. 32.Is 5067 divisible by 29?
  33. 33.Is 30693 divisible by 17?
  34. 34.Is 25671 divisible by 13?
  35. 35.Is 49539 divisible by 23?
  36. 36.Is 19788 divisible by 12?
  37. 37.Is 3886 divisible by 2?
  38. 38.Is 3020 divisible by 19?
  39. 39.Is 140424 divisible by 24?
  40. 40.Is 100707 divisible by 20?

Answer key

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

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