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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 228 · 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 4180 divisible by 2?
  2. 2.Is 27435 divisible by 15?
  3. 3.Is 67988 divisible by 11?
  4. 4.Is 9624 divisible by 4?
  5. 5.Is 43251 divisible by 13?
  6. 6.Is 30560 divisible by 8?
  7. 7.Is 1908 divisible by 29?
  8. 8.Is 121734 divisible by 18?
  9. 9.Is 2484 divisible by 13?
  10. 10.Is 22525 divisible by 20?
  11. 11.Is 38196 divisible by 10?
  12. 12.Is 117408 divisible by 24?
  13. 13.Is 36335 divisible by 24?
  14. 14.Is 4147 divisible by 4?
  15. 15.Is 13606 divisible by 4?
  16. 16.Is 16113 divisible by 4?
  17. 17.Is 54502 divisible by 17?
  18. 18.Is 16302 divisible by 6?
  19. 19.Is 11365 divisible by 3?
  20. 20.Is 20503 divisible by 9?
  21. 21.Is 83698 divisible by 20?
  22. 22.Is 25911 divisible by 9?
  23. 23.Is 473 divisible by 7?
  24. 24.Is 27000 divisible by 18?
  25. 25.Is 79070 divisible by 29?
  26. 26.Is 47543 divisible by 11?
  27. 27.Is 78115 divisible by 18?
  28. 28.Is 16433 divisible by 3?
  29. 29.Is 16884 divisible by 18?
  30. 30.Is 65933 divisible by 15?
  31. 31.Is 3747 divisible by 23?
  32. 32.Is 172782 divisible by 29?
  33. 33.Is 35711 divisible by 17?
  34. 34.Is 60460 divisible by 10?
  35. 35.Is 61644 divisible by 9?
  36. 36.Is 16330 divisible by 3?
  37. 37.Is 6054 divisible by 6?
  38. 38.Is 37367 divisible by 20?
  39. 39.Is 723 divisible by 3?
  40. 40.Is 32736 divisible by 12?

Answer key

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

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