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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 323 · 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 25116 divisible by 13?
  2. 2.Is 43290 divisible by 10?
  3. 3.Is 155333 divisible by 24?
  4. 4.Is 48371 divisible by 7?
  5. 5.Is 6569 divisible by 24?
  6. 6.Is 7427 divisible by 5?
  7. 7.Is 6744 divisible by 5?
  8. 8.Is 499 divisible by 2?
  9. 9.Is 27531 divisible by 11?
  10. 10.Is 28027 divisible by 9?
  11. 11.Is 3749 divisible by 2?
  12. 12.Is 20391 divisible by 23?
  13. 13.Is 51340 divisible by 17?
  14. 14.Is 114266 divisible by 19?
  15. 15.Is 61568 divisible by 13?
  16. 16.Is 28267 divisible by 5?
  17. 17.Is 4130 divisible by 2?
  18. 18.Is 14229 divisible by 3?
  19. 19.Is 17423 divisible by 3?
  20. 20.Is 1872 divisible by 24?
  21. 21.Is 51076 divisible by 8?
  22. 22.Is 1173 divisible by 5?
  23. 23.Is 84380 divisible by 19?
  24. 24.Is 20466 divisible by 3?
  25. 25.Is 9474 divisible by 3?
  26. 26.Is 19725 divisible by 3?
  27. 27.Is 610 divisible by 10?
  28. 28.Is 30270 divisible by 6?
  29. 29.Is 6097 divisible by 6?
  30. 30.Is 2898 divisible by 6?
  31. 31.Is 45469 divisible by 20?
  32. 32.Is 71924 divisible by 18?
  33. 33.Is 11066 divisible by 17?
  34. 34.Is 38472 divisible by 6?
  35. 35.Is 14898 divisible by 13?
  36. 36.Is 23670 divisible by 5?
  37. 37.Is 2251 divisible by 5?
  38. 38.Is 32246 divisible by 23?
  39. 39.Is 17772 divisible by 3?
  40. 40.Is 95495 divisible by 29?

Answer key

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

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