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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 490 · 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 45915 divisible by 10?
  2. 2.Is 7058 divisible by 6?
  3. 3.Is 33900 divisible by 7?
  4. 4.Is 66977 divisible by 15?
  5. 5.Is 89437 divisible by 17?
  6. 6.Is 41871 divisible by 17?
  7. 7.Is 21238 divisible by 20?
  8. 8.Is 42672 divisible by 7?
  9. 9.Is 13970 divisible by 5?
  10. 10.Is 167 divisible by 2?
  11. 11.Is 51700 divisible by 8?
  12. 12.Is 9425 divisible by 10?
  13. 13.Is 56031 divisible by 9?
  14. 14.Is 3239 divisible by 2?
  15. 15.Is 55694 divisible by 23?
  16. 16.Is 74895 divisible by 15?
  17. 17.Is 9309 divisible by 2?
  18. 18.Is 3126 divisible by 18?
  19. 19.Is 113953 divisible by 20?
  20. 20.Is 133491 divisible by 24?
  21. 21.Is 25765 divisible by 4?
  22. 22.Is 12719 divisible by 23?
  23. 23.Is 52790 divisible by 10?
  24. 24.Is 648 divisible by 6?
  25. 25.Is 10036 divisible by 4?
  26. 26.Is 12505 divisible by 4?
  27. 27.Is 113 divisible by 5?
  28. 28.Is 14559 divisible by 29?
  29. 29.Is 51642 divisible by 9?
  30. 30.Is 6294 divisible by 8?
  31. 31.Is 10324 divisible by 2?
  32. 32.Is 53472 divisible by 12?
  33. 33.Is 11792 divisible by 13?
  34. 34.Is 94410 divisible by 30?
  35. 35.Is 9900 divisible by 18?
  36. 36.Is 3400 divisible by 5?
  37. 37.Is 38354 divisible by 11?
  38. 38.Is 52699 divisible by 15?
  39. 39.Is 106801 divisible by 19?
  40. 40.Is 6964 divisible by 4?

Answer key

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

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