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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 891 · 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 62640 divisible by 30?
  2. 2.Is 2816 divisible by 3?
  3. 3.Is 21094 divisible by 4?
  4. 4.Is 24184 divisible by 4?
  5. 5.Is 24711 divisible by 5?
  6. 6.Is 144629 divisible by 29?
  7. 7.Is 20519 divisible by 18?
  8. 8.Is 26202 divisible by 6?
  9. 9.Is 8490 divisible by 5?
  10. 10.Is 9024 divisible by 2?
  11. 11.Is 2573 divisible by 19?
  12. 12.Is 26161 divisible by 5?
  13. 13.Is 8788 divisible by 5?
  14. 14.Is 59140 divisible by 10?
  15. 15.Is 19799 divisible by 3?
  16. 16.Is 69305 divisible by 23?
  17. 17.Is 8464 divisible by 9?
  18. 18.Is 5019 divisible by 4?
  19. 19.Is 1200 divisible by 12?
  20. 20.Is 22513 divisible by 9?
  21. 21.Is 16776 divisible by 8?
  22. 22.Is 87616 divisible by 29?
  23. 23.Is 54192 divisible by 24?
  24. 24.Is 46474 divisible by 9?
  25. 25.Is 24935 divisible by 5?
  26. 26.Is 1821 divisible by 3?
  27. 27.Is 166460 divisible by 29?
  28. 28.Is 69675 divisible by 24?
  29. 29.Is 7488 divisible by 9?
  30. 30.Is 149787 divisible by 24?
  31. 31.Is 26131 divisible by 13?
  32. 32.Is 77197 divisible by 12?
  33. 33.Is 75329 divisible by 17?
  34. 34.Is 128690 divisible by 29?
  35. 35.Is 7447 divisible by 20?
  36. 36.Is 1165 divisible by 5?
  37. 37.Is 12888 divisible by 3?
  38. 38.Is 69696 divisible by 24?
  39. 39.Is 2443 divisible by 2?
  40. 40.Is 8718 divisible by 13?

Answer key

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

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