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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 723 · 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 24135 divisible by 5?
  2. 2.Is 113209 divisible by 18?
  3. 3.Is 5948 divisible by 4?
  4. 4.Is 10572 divisible by 3?
  5. 5.Is 25816 divisible by 4?
  6. 6.Is 98130 divisible by 15?
  7. 7.Is 38402 divisible by 12?
  8. 8.Is 50484 divisible by 11?
  9. 9.Is 47820 divisible by 30?
  10. 10.Is 115390 divisible by 20?
  11. 11.Is 25638 divisible by 6?
  12. 12.Is 6771 divisible by 19?
  13. 13.Is 34985 divisible by 12?
  14. 14.Is 190920 divisible by 30?
  15. 15.Is 29745 divisible by 15?
  16. 16.Is 20942 divisible by 3?
  17. 17.Is 52340 divisible by 11?
  18. 18.Is 3497 divisible by 13?
  19. 19.Is 78794 divisible by 29?
  20. 20.Is 11279 divisible by 5?
  21. 21.Is 4925 divisible by 2?
  22. 22.Is 44880 divisible by 15?
  23. 23.Is 15186 divisible by 18?
  24. 24.Is 5898 divisible by 6?
  25. 25.Is 65343 divisible by 19?
  26. 26.Is 84248 divisible by 15?
  27. 27.Is 95855 divisible by 24?
  28. 28.Is 71102 divisible by 12?
  29. 29.Is 132004 divisible by 24?
  30. 30.Is 46303 divisible by 23?
  31. 31.Is 8424 divisible by 13?
  32. 32.Is 97152 divisible by 23?
  33. 33.Is 82094 divisible by 13?
  34. 34.Is 63023 divisible by 13?
  35. 35.Is 99570 divisible by 30?
  36. 36.Is 3474 divisible by 2?
  37. 37.Is 4646 divisible by 2?
  38. 38.Is 84980 divisible by 19?
  39. 39.Is 52566 divisible by 19?
  40. 40.Is 13848 divisible by 2?

Answer key

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

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