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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 263 · 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 4642 divisible by 3?
  2. 2.Is 12137 divisible by 4?
  3. 3.Is 16224 divisible by 6?
  4. 4.Is 3116 divisible by 8?
  5. 5.Is 16144 divisible by 10?
  6. 6.Is 9398 divisible by 5?
  7. 7.Is 19873 divisible by 17?
  8. 8.Is 67903 divisible by 11?
  9. 9.Is 78463 divisible by 13?
  10. 10.Is 26476 divisible by 5?
  11. 11.Is 25611 divisible by 15?
  12. 12.Is 21231 divisible by 5?
  13. 13.Is 8050 divisible by 2?
  14. 14.Is 5908 divisible by 2?
  15. 15.Is 88501 divisible by 17?
  16. 16.Is 54356 divisible by 8?
  17. 17.Is 151541 divisible by 29?
  18. 18.Is 6324 divisible by 3?
  19. 19.Is 41768 divisible by 23?
  20. 20.Is 59680 divisible by 20?
  21. 21.Is 73219 divisible by 19?
  22. 22.Is 69010 divisible by 29?
  23. 23.Is 78988 divisible by 13?
  24. 24.Is 196794 divisible by 29?
  25. 25.Is 22392 divisible by 12?
  26. 26.Is 90330 divisible by 30?
  27. 27.Is 110868 divisible by 18?
  28. 28.Is 10930 divisible by 23?
  29. 29.Is 19575 divisible by 5?
  30. 30.Is 1233 divisible by 3?
  31. 31.Is 18109 divisible by 5?
  32. 32.Is 46121 divisible by 17?
  33. 33.Is 102399 divisible by 29?
  34. 34.Is 7605 divisible by 5?
  35. 35.Is 113514 divisible by 17?
  36. 36.Is 66700 divisible by 23?
  37. 37.Is 43920 divisible by 20?
  38. 38.Is 26613 divisible by 9?
  39. 39.Is 8650 divisible by 5?
  40. 40.Is 52860 divisible by 20?

Answer key

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

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