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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 624 · 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 14377 divisible by 3?
  2. 2.Is 3128 divisible by 23?
  3. 3.Is 13273 divisible by 2?
  4. 4.Is 45881 divisible by 10?
  5. 5.Is 124087 divisible by 19?
  6. 6.Is 2332 divisible by 4?
  7. 7.Is 7084 divisible by 4?
  8. 8.Is 31284 divisible by 11?
  9. 9.Is 111679 divisible by 29?
  10. 10.Is 14167 divisible by 5?
  11. 11.Is 14285 divisible by 18?
  12. 12.Is 15946 divisible by 6?
  13. 13.Is 36607 divisible by 20?
  14. 14.Is 26356 divisible by 15?
  15. 15.Is 51704 divisible by 9?
  16. 16.Is 18675 divisible by 15?
  17. 17.Is 40376 divisible by 8?
  18. 18.Is 4594 divisible by 18?
  19. 19.Is 21653 divisible by 5?
  20. 20.Is 18766 divisible by 9?
  21. 21.Is 36168 divisible by 12?
  22. 22.Is 1051 divisible by 10?
  23. 23.Is 59189 divisible by 9?
  24. 24.Is 29330 divisible by 7?
  25. 25.Is 27208 divisible by 4?
  26. 26.Is 56120 divisible by 23?
  27. 27.Is 30024 divisible by 10?
  28. 28.Is 15426 divisible by 4?
  29. 29.Is 6714 divisible by 9?
  30. 30.Is 14644 divisible by 7?
  31. 31.Is 6291 divisible by 9?
  32. 32.Is 3195 divisible by 15?
  33. 33.Is 26228 divisible by 7?
  34. 34.Is 9112 divisible by 8?
  35. 35.Is 48990 divisible by 10?
  36. 36.Is 46098 divisible by 9?
  37. 37.Is 12852 divisible by 4?
  38. 38.Is 19920 divisible by 8?
  39. 39.Is 33643 divisible by 20?
  40. 40.Is 81648 divisible by 12?

Answer key

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

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