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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 344 · 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 31920 divisible by 20?
  2. 2.Is 12324 divisible by 4?
  3. 3.Is 12216 divisible by 3?
  4. 4.Is 53798 divisible by 10?
  5. 5.Is 96528 divisible by 24?
  6. 6.Is 37342 divisible by 10?
  7. 7.Is 21364 divisible by 19?
  8. 8.Is 29840 divisible by 20?
  9. 9.Is 45702 divisible by 8?
  10. 10.Is 25343 divisible by 4?
  11. 11.Is 1067 divisible by 11?
  12. 12.Is 47107 divisible by 17?
  13. 13.Is 6234 divisible by 23?
  14. 14.Is 109614 divisible by 24?
  15. 15.Is 16412 divisible by 9?
  16. 16.Is 19531 divisible by 9?
  17. 17.Is 121410 divisible by 30?
  18. 18.Is 64501 divisible by 12?
  19. 19.Is 40733 divisible by 7?
  20. 20.Is 2297 divisible by 17?
  21. 21.Is 1852 divisible by 2?
  22. 22.Is 166422 divisible by 24?
  23. 23.Is 31230 divisible by 15?
  24. 24.Is 84270 divisible by 15?
  25. 25.Is 1223 divisible by 5?
  26. 26.Is 67741 divisible by 12?
  27. 27.Is 4759 divisible by 4?
  28. 28.Is 21466 divisible by 10?
  29. 29.Is 159712 divisible by 23?
  30. 30.Is 614 divisible by 9?
  31. 31.Is 17455 divisible by 7?
  32. 32.Is 2868 divisible by 3?
  33. 33.Is 83858 divisible by 30?
  34. 34.Is 44302 divisible by 8?
  35. 35.Is 47533 divisible by 13?
  36. 36.Is 2068 divisible by 3?
  37. 37.Is 22385 divisible by 24?
  38. 38.Is 11055 divisible by 4?
  39. 39.Is 118745 divisible by 23?
  40. 40.Is 21319 divisible by 8?

Answer key

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

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