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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 778 · 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 24444 divisible by 12?
  2. 2.Is 1033 divisible by 6?
  3. 3.Is 52540 divisible by 11?
  4. 4.Is 93691 divisible by 23?
  5. 5.Is 83475 divisible by 12?
  6. 6.Is 1744 divisible by 3?
  7. 7.Is 50762 divisible by 17?
  8. 8.Is 7336 divisible by 2?
  9. 9.Is 118992 divisible by 24?
  10. 10.Is 53988 divisible by 12?
  11. 11.Is 15744 divisible by 4?
  12. 12.Is 37395 divisible by 9?
  13. 13.Is 23148 divisible by 6?
  14. 14.Is 130265 divisible by 19?
  15. 15.Is 91938 divisible by 19?
  16. 16.Is 28818 divisible by 9?
  17. 17.Is 106692 divisible by 17?
  18. 18.Is 17364 divisible by 4?
  19. 19.Is 43751 divisible by 8?
  20. 20.Is 20993 divisible by 7?
  21. 21.Is 10775 divisible by 11?
  22. 22.Is 31292 divisible by 10?
  23. 23.Is 22988 divisible by 6?
  24. 24.Is 25993 divisible by 11?
  25. 25.Is 50190 divisible by 10?
  26. 26.Is 94488 divisible by 15?
  27. 27.Is 8426 divisible by 2?
  28. 28.Is 23959 divisible by 24?
  29. 29.Is 86205 divisible by 15?
  30. 30.Is 20612 divisible by 7?
  31. 31.Is 80971 divisible by 17?
  32. 32.Is 32454 divisible by 6?
  33. 33.Is 5029 divisible by 2?
  34. 34.Is 26568 divisible by 6?
  35. 35.Is 75039 divisible by 18?
  36. 36.Is 7230 divisible by 6?
  37. 37.Is 6463 divisible by 6?
  38. 38.Is 57969 divisible by 9?
  39. 39.Is 46310 divisible by 11?
  40. 40.Is 117270 divisible by 30?

Answer key

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

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