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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 918 · 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 87928 divisible by 29?
  2. 2.Is 7852 divisible by 29?
  3. 3.Is 2919 divisible by 3?
  4. 4.Is 27451 divisible by 6?
  5. 5.Is 6031 divisible by 2?
  6. 6.Is 6113 divisible by 5?
  7. 7.Is 18884 divisible by 3?
  8. 8.Is 24920 divisible by 8?
  9. 9.Is 23664 divisible by 17?
  10. 10.Is 25760 divisible by 8?
  11. 11.Is 1425 divisible by 4?
  12. 12.Is 46852 divisible by 17?
  13. 13.Is 161304 divisible by 24?
  14. 14.Is 7547 divisible by 24?
  15. 15.Is 7340 divisible by 10?
  16. 16.Is 84692 divisible by 13?
  17. 17.Is 48387 divisible by 17?
  18. 18.Is 18850 divisible by 29?
  19. 19.Is 3474 divisible by 11?
  20. 20.Is 10574 divisible by 2?
  21. 21.Is 23360 divisible by 5?
  22. 22.Is 31065 divisible by 20?
  23. 23.Is 69340 divisible by 10?
  24. 24.Is 98135 divisible by 19?
  25. 25.Is 13103 divisible by 2?
  26. 26.Is 11913 divisible by 8?
  27. 27.Is 103607 divisible by 20?
  28. 28.Is 6614 divisible by 5?
  29. 29.Is 28200 divisible by 15?
  30. 30.Is 83293 divisible by 23?
  31. 31.Is 6720 divisible by 12?
  32. 32.Is 18414 divisible by 11?
  33. 33.Is 90402 divisible by 13?
  34. 34.Is 24810 divisible by 4?
  35. 35.Is 79885 divisible by 18?
  36. 36.Is 23949 divisible by 13?
  37. 37.Is 18700 divisible by 4?
  38. 38.Is 7421 divisible by 3?
  39. 39.Is 9419 divisible by 4?
  40. 40.Is 11952 divisible by 9?

Answer key

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

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