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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 586 · 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 986 divisible by 2?
  2. 2.Is 2319 divisible by 3?
  3. 3.Is 14248 divisible by 13?
  4. 4.Is 71610 divisible by 11?
  5. 5.Is 66079 divisible by 13?
  6. 6.Is 8064 divisible by 10?
  7. 7.Is 76 divisible by 2?
  8. 8.Is 16258 divisible by 13?
  9. 9.Is 23630 divisible by 6?
  10. 10.Is 10830 divisible by 4?
  11. 11.Is 297 divisible by 3?
  12. 12.Is 10134 divisible by 2?
  13. 13.Is 28635 divisible by 23?
  14. 14.Is 12650 divisible by 5?
  15. 15.Is 73758 divisible by 19?
  16. 16.Is 10644 divisible by 11?
  17. 17.Is 74745 divisible by 11?
  18. 18.Is 59499 divisible by 11?
  19. 19.Is 3930 divisible by 6?
  20. 20.Is 28620 divisible by 8?
  21. 21.Is 27096 divisible by 6?
  22. 22.Is 98481 divisible by 17?
  23. 23.Is 1419 divisible by 2?
  24. 24.Is 22545 divisible by 5?
  25. 25.Is 71991 divisible by 19?
  26. 26.Is 16657 divisible by 6?
  27. 27.Is 7166 divisible by 2?
  28. 28.Is 62046 divisible by 17?
  29. 29.Is 22674 divisible by 11?
  30. 30.Is 12466 divisible by 23?
  31. 31.Is 47728 divisible by 8?
  32. 32.Is 46176 divisible by 24?
  33. 33.Is 118169 divisible by 17?
  34. 34.Is 50490 divisible by 30?
  35. 35.Is 37507 divisible by 7?
  36. 36.Is 186 divisible by 6?
  37. 37.Is 30393 divisible by 11?
  38. 38.Is 2287 divisible by 3?
  39. 39.Is 76967 divisible by 12?
  40. 40.Is 4185 divisible by 13?

Answer key

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

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