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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 356 · 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 48558 divisible by 12?
  2. 2.Is 32700 divisible by 5?
  3. 3.Is 99790 divisible by 17?
  4. 4.Is 5712 divisible by 11?
  5. 5.Is 12730 divisible by 24?
  6. 6.Is 16880 divisible by 4?
  7. 7.Is 68773 divisible by 15?
  8. 8.Is 61506 divisible by 17?
  9. 9.Is 20760 divisible by 4?
  10. 10.Is 62801 divisible by 13?
  11. 11.Is 14166 divisible by 10?
  12. 12.Is 25416 divisible by 18?
  13. 13.Is 80083 divisible by 12?
  14. 14.Is 61451 divisible by 13?
  15. 15.Is 5199 divisible by 5?
  16. 16.Is 98244 divisible by 18?
  17. 17.Is 66216 divisible by 24?
  18. 18.Is 46448 divisible by 7?
  19. 19.Is 61244 divisible by 17?
  20. 20.Is 43725 divisible by 11?
  21. 21.Is 16135 divisible by 5?
  22. 22.Is 16211 divisible by 3?
  23. 23.Is 4663 divisible by 7?
  24. 24.Is 120308 divisible by 19?
  25. 25.Is 5733 divisible by 7?
  26. 26.Is 83426 divisible by 12?
  27. 27.Is 206640 divisible by 30?
  28. 28.Is 15941 divisible by 19?
  29. 29.Is 29820 divisible by 7?
  30. 30.Is 41886 divisible by 6?
  31. 31.Is 85551 divisible by 24?
  32. 32.Is 28135 divisible by 11?
  33. 33.Is 45512 divisible by 8?
  34. 34.Is 108720 divisible by 30?
  35. 35.Is 4404 divisible by 4?
  36. 36.Is 42234 divisible by 24?
  37. 37.Is 47093 divisible by 23?
  38. 38.Is 10040 divisible by 18?
  39. 39.Is 114376 divisible by 17?
  40. 40.Is 3648 divisible by 7?

Answer key

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

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