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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 870 · 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 14250 divisible by 19?
  2. 2.Is 40271 divisible by 7?
  3. 3.Is 27693 divisible by 6?
  4. 4.Is 15569 divisible by 5?
  5. 5.Is 125210 divisible by 29?
  6. 6.Is 163344 divisible by 24?
  7. 7.Is 3280 divisible by 4?
  8. 8.Is 9827 divisible by 10?
  9. 9.Is 152616 divisible by 24?
  10. 10.Is 20382 divisible by 13?
  11. 11.Is 24199 divisible by 7?
  12. 12.Is 7919 divisible by 3?
  13. 13.Is 23044 divisible by 7?
  14. 14.Is 82795 divisible by 23?
  15. 15.Is 22179 divisible by 4?
  16. 16.Is 53883 divisible by 9?
  17. 17.Is 1215 divisible by 5?
  18. 18.Is 81115 divisible by 20?
  19. 19.Is 23100 divisible by 7?
  20. 20.Is 7794 divisible by 18?
  21. 21.Is 34191 divisible by 6?
  22. 22.Is 18980 divisible by 12?
  23. 23.Is 21019 divisible by 15?
  24. 24.Is 4360 divisible by 4?
  25. 25.Is 3307 divisible by 15?
  26. 26.Is 20289 divisible by 3?
  27. 27.Is 9294 divisible by 3?
  28. 28.Is 92430 divisible by 15?
  29. 29.Is 10192 divisible by 19?
  30. 30.Is 124080 divisible by 20?
  31. 31.Is 8945 divisible by 29?
  32. 32.Is 28206 divisible by 10?
  33. 33.Is 5568 divisible by 3?
  34. 34.Is 17520 divisible by 20?
  35. 35.Is 17493 divisible by 10?
  36. 36.Is 18987 divisible by 4?
  37. 37.Is 55814 divisible by 24?
  38. 38.Is 15534 divisible by 6?
  39. 39.Is 47955 divisible by 23?
  40. 40.Is 11085 divisible by 5?

Answer key

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

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