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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 560 · 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 13251 divisible by 10?
  2. 2.Is 222 divisible by 4?
  3. 3.Is 64632 divisible by 29?
  4. 4.Is 9859 divisible by 12?
  5. 5.Is 22215 divisible by 30?
  6. 6.Is 17900 divisible by 17?
  7. 7.Is 90324 divisible by 13?
  8. 8.Is 95893 divisible by 19?
  9. 9.Is 43750 divisible by 23?
  10. 10.Is 22700 divisible by 20?
  11. 11.Is 18157 divisible by 4?
  12. 12.Is 134198 divisible by 20?
  13. 13.Is 52950 divisible by 30?
  14. 14.Is 40689 divisible by 13?
  15. 15.Is 46786 divisible by 7?
  16. 16.Is 61318 divisible by 23?
  17. 17.Is 44320 divisible by 8?
  18. 18.Is 54784 divisible by 13?
  19. 19.Is 36569 divisible by 29?
  20. 20.Is 14235 divisible by 5?
  21. 21.Is 14070 divisible by 15?
  22. 22.Is 3876 divisible by 5?
  23. 23.Is 10423 divisible by 6?
  24. 24.Is 41409 divisible by 9?
  25. 25.Is 8850 divisible by 2?
  26. 26.Is 3733 divisible by 4?
  27. 27.Is 130886 divisible by 29?
  28. 28.Is 825 divisible by 6?
  29. 29.Is 57342 divisible by 19?
  30. 30.Is 21904 divisible by 4?
  31. 31.Is 3309 divisible by 3?
  32. 32.Is 10414 divisible by 2?
  33. 33.Is 5299 divisible by 2?
  34. 34.Is 31283 divisible by 7?
  35. 35.Is 130503 divisible by 29?
  36. 36.Is 7353 divisible by 19?
  37. 37.Is 149291 divisible by 24?
  38. 38.Is 134340 divisible by 30?
  39. 39.Is 151261 divisible by 24?
  40. 40.Is 73960 divisible by 13?

Answer key

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

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