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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 871 · 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 20488 divisible by 24?
  2. 2.Is 6570 divisible by 6?
  3. 3.Is 44134 divisible by 29?
  4. 4.Is 6620 divisible by 7?
  5. 5.Is 66514 divisible by 17?
  6. 6.Is 60135 divisible by 15?
  7. 7.Is 20104 divisible by 4?
  8. 8.Is 25056 divisible by 24?
  9. 9.Is 70365 divisible by 15?
  10. 10.Is 59874 divisible by 12?
  11. 11.Is 13772 divisible by 15?
  12. 12.Is 9660 divisible by 20?
  13. 13.Is 7665 divisible by 15?
  14. 14.Is 154422 divisible by 29?
  15. 15.Is 23165 divisible by 7?
  16. 16.Is 98226 divisible by 17?
  17. 17.Is 5558 divisible by 13?
  18. 18.Is 6192 divisible by 24?
  19. 19.Is 9345 divisible by 4?
  20. 20.Is 51182 divisible by 29?
  21. 21.Is 63394 divisible by 19?
  22. 22.Is 9097 divisible by 2?
  23. 23.Is 21006 divisible by 6?
  24. 24.Is 3288 divisible by 19?
  25. 25.Is 26708 divisible by 8?
  26. 26.Is 2060 divisible by 5?
  27. 27.Is 141266 divisible by 23?
  28. 28.Is 35832 divisible by 6?
  29. 29.Is 12174 divisible by 6?
  30. 30.Is 3328 divisible by 4?
  31. 31.Is 38571 divisible by 7?
  32. 32.Is 3065 divisible by 30?
  33. 33.Is 28538 divisible by 11?
  34. 34.Is 36018 divisible by 18?
  35. 35.Is 23472 divisible by 24?
  36. 36.Is 34506 divisible by 18?
  37. 37.Is 8732 divisible by 4?
  38. 38.Is 27782 divisible by 7?
  39. 39.Is 16434 divisible by 3?
  40. 40.Is 61320 divisible by 24?

Answer key

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

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