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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 245 · 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 26768 divisible by 7?
  2. 2.Is 89441 divisible by 18?
  3. 3.Is 56081 divisible by 12?
  4. 4.Is 39702 divisible by 10?
  5. 5.Is 4778 divisible by 3?
  6. 6.Is 10786 divisible by 3?
  7. 7.Is 82909 divisible by 19?
  8. 8.Is 20593 divisible by 15?
  9. 9.Is 68619 divisible by 23?
  10. 10.Is 75053 divisible by 11?
  11. 11.Is 39030 divisible by 30?
  12. 12.Is 3297 divisible by 7?
  13. 13.Is 43438 divisible by 12?
  14. 14.Is 1624 divisible by 2?
  15. 15.Is 16597 divisible by 7?
  16. 16.Is 54737 divisible by 13?
  17. 17.Is 20808 divisible by 9?
  18. 18.Is 17300 divisible by 4?
  19. 19.Is 93416 divisible by 29?
  20. 20.Is 131429 divisible by 23?
  21. 21.Is 100970 divisible by 23?
  22. 22.Is 27859 divisible by 6?
  23. 23.Is 27545 divisible by 7?
  24. 24.Is 1000 divisible by 11?
  25. 25.Is 85639 divisible by 17?
  26. 26.Is 31302 divisible by 9?
  27. 27.Is 152832 divisible by 24?
  28. 28.Is 10087 divisible by 11?
  29. 29.Is 17933 divisible by 9?
  30. 30.Is 24340 divisible by 10?
  31. 31.Is 93270 divisible by 30?
  32. 32.Is 148650 divisible by 30?
  33. 33.Is 117989 divisible by 19?
  34. 34.Is 320 divisible by 8?
  35. 35.Is 24479 divisible by 13?
  36. 36.Is 35490 divisible by 13?
  37. 37.Is 43219 divisible by 7?
  38. 38.Is 18810 divisible by 18?
  39. 39.Is 173400 divisible by 30?
  40. 40.Is 3181 divisible by 2?

Answer key

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

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