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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 204 · 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 15554 divisible by 8?
  2. 2.Is 35376 divisible by 11?
  3. 3.Is 76320 divisible by 15?
  4. 4.Is 58029 divisible by 23?
  5. 5.Is 161472 divisible by 24?
  6. 6.Is 36420 divisible by 12?
  7. 7.Is 26681 divisible by 6?
  8. 8.Is 87930 divisible by 15?
  9. 9.Is 615 divisible by 3?
  10. 10.Is 43542 divisible by 18?
  11. 11.Is 123855 divisible by 23?
  12. 12.Is 3155 divisible by 5?
  13. 13.Is 39615 divisible by 7?
  14. 14.Is 6870 divisible by 15?
  15. 15.Is 27100 divisible by 10?
  16. 16.Is 120287 divisible by 29?
  17. 17.Is 1734 divisible by 4?
  18. 18.Is 64473 divisible by 23?
  19. 19.Is 91662 divisible by 30?
  20. 20.Is 53280 divisible by 24?
  21. 21.Is 45682 divisible by 7?
  22. 22.Is 165120 divisible by 30?
  23. 23.Is 6307 divisible by 3?
  24. 24.Is 62675 divisible by 23?
  25. 25.Is 1893 divisible by 2?
  26. 26.Is 65748 divisible by 11?
  27. 27.Is 15949 divisible by 4?
  28. 28.Is 28856 divisible by 7?
  29. 29.Is 13823 divisible by 6?
  30. 30.Is 14697 divisible by 12?
  31. 31.Is 89217 divisible by 23?
  32. 32.Is 20315 divisible by 5?
  33. 33.Is 9402 divisible by 8?
  34. 34.Is 26460 divisible by 15?
  35. 35.Is 58824 divisible by 23?
  36. 36.Is 94435 divisible by 17?
  37. 37.Is 144330 divisible by 30?
  38. 38.Is 97740 divisible by 30?
  39. 39.Is 135679 divisible by 23?
  40. 40.Is 68002 divisible by 11?

Answer key

  1. no
  2. yes
  3. yes
  4. yes
  5. yes
  6. yes
  7. no
  8. yes
  9. yes
  10. yes
  11. yes
  12. yes
  13. no
  14. yes
  15. yes
  16. no
  17. no
  18. no
  19. no
  20. yes
  21. yes
  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. yes
  35. no
  36. yes
  37. yes
  38. yes
  39. no
  40. yes

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