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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 403 · 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 1600 divisible by 3?
  2. 2.Is 2223 divisible by 3?
  3. 3.Is 4390 divisible by 2?
  4. 4.Is 34470 divisible by 7?
  5. 5.Is 18952 divisible by 29?
  6. 6.Is 34785 divisible by 9?
  7. 7.Is 2080 divisible by 2?
  8. 8.Is 13750 divisible by 11?
  9. 9.Is 31716 divisible by 24?
  10. 10.Is 424 divisible by 2?
  11. 11.Is 37070 divisible by 10?
  12. 12.Is 11282 divisible by 10?
  13. 13.Is 157650 divisible by 30?
  14. 14.Is 20327 divisible by 4?
  15. 15.Is 16471 divisible by 7?
  16. 16.Is 87891 divisible by 23?
  17. 17.Is 135980 divisible by 20?
  18. 18.Is 5018 divisible by 2?
  19. 19.Is 147936 divisible by 23?
  20. 20.Is 46138 divisible by 23?
  21. 21.Is 3533 divisible by 2?
  22. 22.Is 11564 divisible by 4?
  23. 23.Is 151963 divisible by 24?
  24. 24.Is 86070 divisible by 13?
  25. 25.Is 119845 divisible by 20?
  26. 26.Is 2010 divisible by 5?
  27. 27.Is 136560 divisible by 24?
  28. 28.Is 19256 divisible by 8?
  29. 29.Is 610 divisible by 10?
  30. 30.Is 89611 divisible by 13?
  31. 31.Is 24786 divisible by 18?
  32. 32.Is 10011 divisible by 13?
  33. 33.Is 176454 divisible by 30?
  34. 34.Is 76716 divisible by 12?
  35. 35.Is 19635 divisible by 6?
  36. 36.Is 187385 divisible by 29?
  37. 37.Is 24964 divisible by 4?
  38. 38.Is 37178 divisible by 8?
  39. 39.Is 10968 divisible by 24?
  40. 40.Is 6112 divisible by 8?

Answer key

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

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