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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 743 · 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 6264 divisible by 6?
  2. 2.Is 50503 divisible by 9?
  3. 3.Is 17271 divisible by 3?
  4. 4.Is 28037 divisible by 23?
  5. 5.Is 13443 divisible by 19?
  6. 6.Is 72750 divisible by 15?
  7. 7.Is 22784 divisible by 8?
  8. 8.Is 5790 divisible by 15?
  9. 9.Is 56041 divisible by 17?
  10. 10.Is 60348 divisible by 11?
  11. 11.Is 20703 divisible by 4?
  12. 12.Is 36701 divisible by 7?
  13. 13.Is 22451 divisible by 5?
  14. 14.Is 64176 divisible by 12?
  15. 15.Is 13331 divisible by 2?
  16. 16.Is 15431 divisible by 4?
  17. 17.Is 5632 divisible by 18?
  18. 18.Is 8923 divisible by 2?
  19. 19.Is 71981 divisible by 13?
  20. 20.Is 16006 divisible by 6?
  21. 21.Is 6975 divisible by 8?
  22. 22.Is 1276 divisible by 17?
  23. 23.Is 35088 divisible by 12?
  24. 24.Is 95194 divisible by 15?
  25. 25.Is 7294 divisible by 3?
  26. 26.Is 6388 divisible by 5?
  27. 27.Is 11435 divisible by 2?
  28. 28.Is 27049 divisible by 4?
  29. 29.Is 78527 divisible by 19?
  30. 30.Is 6110 divisible by 13?
  31. 31.Is 3994 divisible by 8?
  32. 32.Is 20469 divisible by 3?
  33. 33.Is 32360 divisible by 12?
  34. 34.Is 113324 divisible by 19?
  35. 35.Is 9528 divisible by 2?
  36. 36.Is 9644 divisible by 4?
  37. 37.Is 9925 divisible by 6?
  38. 38.Is 10216 divisible by 5?
  39. 39.Is 27132 divisible by 7?
  40. 40.Is 14783 divisible by 15?

Answer key

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

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