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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 858 · 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 34590 divisible by 5?
  2. 2.Is 52084 divisible by 18?
  3. 3.Is 115771 divisible by 17?
  4. 4.Is 3649 divisible by 24?
  5. 5.Is 83620 divisible by 24?
  6. 6.Is 131422 divisible by 19?
  7. 7.Is 16017 divisible by 3?
  8. 8.Is 40460 divisible by 17?
  9. 9.Is 42885 divisible by 10?
  10. 10.Is 131031 divisible by 23?
  11. 11.Is 191941 divisible by 30?
  12. 12.Is 102170 divisible by 17?
  13. 13.Is 7224 divisible by 6?
  14. 14.Is 42446 divisible by 19?
  15. 15.Is 27364 divisible by 10?
  16. 16.Is 40740 divisible by 30?
  17. 17.Is 6882 divisible by 6?
  18. 18.Is 43087 divisible by 8?
  19. 19.Is 4004 divisible by 7?
  20. 20.Is 62416 divisible by 20?
  21. 21.Is 59568 divisible by 10?
  22. 22.Is 2017 divisible by 2?
  23. 23.Is 30385 divisible by 17?
  24. 24.Is 8262 divisible by 18?
  25. 25.Is 135169 divisible by 29?
  26. 26.Is 20201 divisible by 17?
  27. 27.Is 8297 divisible by 8?
  28. 28.Is 61560 divisible by 10?
  29. 29.Is 16881 divisible by 17?
  30. 30.Is 71448 divisible by 24?
  31. 31.Is 22407 divisible by 7?
  32. 32.Is 3790 divisible by 5?
  33. 33.Is 12620 divisible by 4?
  34. 34.Is 136992 divisible by 24?
  35. 35.Is 29770 divisible by 5?
  36. 36.Is 67806 divisible by 11?
  37. 37.Is 28022 divisible by 9?
  38. 38.Is 34427 divisible by 5?
  39. 39.Is 24380 divisible by 10?
  40. 40.Is 4673 divisible by 6?

Answer key

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

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