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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 729 · 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 4880 divisible by 4?
  2. 2.Is 125195 divisible by 23?
  3. 3.Is 49803 divisible by 12?
  4. 4.Is 65112 divisible by 12?
  5. 5.Is 28098 divisible by 6?
  6. 6.Is 5835 divisible by 3?
  7. 7.Is 15509 divisible by 4?
  8. 8.Is 57513 divisible by 12?
  9. 9.Is 88500 divisible by 30?
  10. 10.Is 42812 divisible by 7?
  11. 11.Is 7816 divisible by 5?
  12. 12.Is 92624 divisible by 20?
  13. 13.Is 30568 divisible by 29?
  14. 14.Is 14573 divisible by 8?
  15. 15.Is 4910 divisible by 2?
  16. 16.Is 94810 divisible by 19?
  17. 17.Is 6528 divisible by 17?
  18. 18.Is 21511 divisible by 13?
  19. 19.Is 3224 divisible by 4?
  20. 20.Is 49230 divisible by 30?
  21. 21.Is 16056 divisible by 12?
  22. 22.Is 92625 divisible by 19?
  23. 23.Is 7988 divisible by 5?
  24. 24.Is 9696 divisible by 3?
  25. 25.Is 73844 divisible by 13?
  26. 26.Is 51820 divisible by 20?
  27. 27.Is 25413 divisible by 9?
  28. 28.Is 17406 divisible by 3?
  29. 29.Is 108037 divisible by 17?
  30. 30.Is 3479 divisible by 12?
  31. 31.Is 47925 divisible by 24?
  32. 32.Is 9947 divisible by 7?
  33. 33.Is 19955 divisible by 4?
  34. 34.Is 24396 divisible by 6?
  35. 35.Is 38106 divisible by 18?
  36. 36.Is 61080 divisible by 12?
  37. 37.Is 43234 divisible by 8?
  38. 38.Is 13639 divisible by 23?
  39. 39.Is 112160 divisible by 18?
  40. 40.Is 2171 divisible by 2?

Answer key

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

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