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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 969 · 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 17244 divisible by 9?
  2. 2.Is 53268 divisible by 10?
  3. 3.Is 3761 divisible by 3?
  4. 4.Is 89382 divisible by 13?
  5. 5.Is 52596 divisible by 18?
  6. 6.Is 46944 divisible by 18?
  7. 7.Is 72180 divisible by 18?
  8. 8.Is 42295 divisible by 7?
  9. 9.Is 78654 divisible by 13?
  10. 10.Is 33189 divisible by 17?
  11. 11.Is 47697 divisible by 15?
  12. 12.Is 11124 divisible by 2?
  13. 13.Is 46266 divisible by 11?
  14. 14.Is 41661 divisible by 9?
  15. 15.Is 28741 divisible by 24?
  16. 16.Is 35891 divisible by 10?
  17. 17.Is 77899 divisible by 19?
  18. 18.Is 78347 divisible by 18?
  19. 19.Is 9063 divisible by 2?
  20. 20.Is 74676 divisible by 30?
  21. 21.Is 51206 divisible by 13?
  22. 22.Is 26432 divisible by 13?
  23. 23.Is 52350 divisible by 30?
  24. 24.Is 16564 divisible by 8?
  25. 25.Is 157415 divisible by 29?
  26. 26.Is 18276 divisible by 4?
  27. 27.Is 133265 divisible by 20?
  28. 28.Is 84445 divisible by 23?
  29. 29.Is 36897 divisible by 24?
  30. 30.Is 5321 divisible by 4?
  31. 31.Is 389 divisible by 4?
  32. 32.Is 39402 divisible by 18?
  33. 33.Is 26095 divisible by 5?
  34. 34.Is 24418 divisible by 6?
  35. 35.Is 20340 divisible by 8?
  36. 36.Is 7179 divisible by 3?
  37. 37.Is 59058 divisible by 10?
  38. 38.Is 72745 divisible by 19?
  39. 39.Is 13440 divisible by 15?
  40. 40.Is 73689 divisible by 11?

Answer key

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

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