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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 348 · 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 35112 divisible by 6?
  2. 2.Is 27552 divisible by 8?
  3. 3.Is 75960 divisible by 12?
  4. 4.Is 125371 divisible by 18?
  5. 5.Is 75995 divisible by 12?
  6. 6.Is 26996 divisible by 17?
  7. 7.Is 2287 divisible by 13?
  8. 8.Is 1668 divisible by 30?
  9. 9.Is 20424 divisible by 4?
  10. 10.Is 30317 divisible by 13?
  11. 11.Is 950 divisible by 19?
  12. 12.Is 77616 divisible by 24?
  13. 13.Is 108756 divisible by 30?
  14. 14.Is 3125 divisible by 5?
  15. 15.Is 8215 divisible by 24?
  16. 16.Is 40551 divisible by 11?
  17. 17.Is 47263 divisible by 23?
  18. 18.Is 170322 divisible by 29?
  19. 19.Is 11046 divisible by 4?
  20. 20.Is 20510 divisible by 3?
  21. 21.Is 30330 divisible by 6?
  22. 22.Is 13645 divisible by 4?
  23. 23.Is 18006 divisible by 9?
  24. 24.Is 29623 divisible by 5?
  25. 25.Is 16694 divisible by 17?
  26. 26.Is 9776 divisible by 13?
  27. 27.Is 39885 divisible by 7?
  28. 28.Is 72930 divisible by 15?
  29. 29.Is 51009 divisible by 10?
  30. 30.Is 116210 divisible by 17?
  31. 31.Is 11090 divisible by 5?
  32. 32.Is 7791 divisible by 5?
  33. 33.Is 41565 divisible by 23?
  34. 34.Is 124065 divisible by 18?
  35. 35.Is 19279 divisible by 13?
  36. 36.Is 2279 divisible by 3?
  37. 37.Is 4940 divisible by 9?
  38. 38.Is 18516 divisible by 13?
  39. 39.Is 96493 divisible by 30?
  40. 40.Is 5438 divisible by 5?

Answer key

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

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