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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 347 · 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 11243 divisible by 2?
  2. 2.Is 40391 divisible by 13?
  3. 3.Is 44954 divisible by 7?
  4. 4.Is 52507 divisible by 13?
  5. 5.Is 11990 divisible by 2?
  6. 6.Is 192642 divisible by 29?
  7. 7.Is 5664 divisible by 3?
  8. 8.Is 38540 divisible by 10?
  9. 9.Is 1710 divisible by 9?
  10. 10.Is 9870 divisible by 7?
  11. 11.Is 164587 divisible by 29?
  12. 12.Is 8493 divisible by 19?
  13. 13.Is 42001 divisible by 8?
  14. 14.Is 56592 divisible by 12?
  15. 15.Is 22309 divisible by 5?
  16. 16.Is 12722 divisible by 6?
  17. 17.Is 95340 divisible by 30?
  18. 18.Is 24711 divisible by 5?
  19. 19.Is 9310 divisible by 5?
  20. 20.Is 78348 divisible by 12?
  21. 21.Is 73033 divisible by 23?
  22. 22.Is 1123 divisible by 5?
  23. 23.Is 11256 divisible by 11?
  24. 24.Is 150458 divisible by 29?
  25. 25.Is 3731 divisible by 17?
  26. 26.Is 54455 divisible by 10?
  27. 27.Is 13961 divisible by 8?
  28. 28.Is 66340 divisible by 17?
  29. 29.Is 52224 divisible by 17?
  30. 30.Is 2119 divisible by 13?
  31. 31.Is 9326 divisible by 4?
  32. 32.Is 3755 divisible by 2?
  33. 33.Is 23485 divisible by 24?
  34. 34.Is 138408 divisible by 24?
  35. 35.Is 121704 divisible by 24?
  36. 36.Is 8328 divisible by 3?
  37. 37.Is 2643 divisible by 6?
  38. 38.Is 7161 divisible by 10?
  39. 39.Is 94995 divisible by 15?
  40. 40.Is 18135 divisible by 13?

Answer key

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

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