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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 374 · 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 196972 divisible by 30?
  2. 2.Is 54799 divisible by 15?
  3. 3.Is 21312 divisible by 10?
  4. 4.Is 38912 divisible by 11?
  5. 5.Is 24977 divisible by 4?
  6. 6.Is 76999 divisible by 13?
  7. 7.Is 118107 divisible by 17?
  8. 8.Is 10300 divisible by 20?
  9. 9.Is 6916 divisible by 4?
  10. 10.Is 18168 divisible by 6?
  11. 11.Is 33530 divisible by 5?
  12. 12.Is 15824 divisible by 23?
  13. 13.Is 3881 divisible by 30?
  14. 14.Is 2413 divisible by 6?
  15. 15.Is 67140 divisible by 10?
  16. 16.Is 39228 divisible by 24?
  17. 17.Is 9654 divisible by 9?
  18. 18.Is 11401 divisible by 7?
  19. 19.Is 61627 divisible by 24?
  20. 20.Is 11500 divisible by 5?
  21. 21.Is 17046 divisible by 30?
  22. 22.Is 4109 divisible by 10?
  23. 23.Is 144 divisible by 6?
  24. 24.Is 10341 divisible by 29?
  25. 25.Is 37805 divisible by 6?
  26. 26.Is 29042 divisible by 13?
  27. 27.Is 8069 divisible by 9?
  28. 28.Is 6969 divisible by 8?
  29. 29.Is 4753 divisible by 4?
  30. 30.Is 68820 divisible by 11?
  31. 31.Is 89568 divisible by 18?
  32. 32.Is 24504 divisible by 24?
  33. 33.Is 27457 divisible by 8?
  34. 34.Is 28959 divisible by 15?
  35. 35.Is 19694 divisible by 3?
  36. 36.Is 103584 divisible by 24?
  37. 37.Is 5292 divisible by 6?
  38. 38.Is 53491 divisible by 30?
  39. 39.Is 3879 divisible by 10?
  40. 40.Is 32964 divisible by 12?

Answer key

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

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