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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 827 · 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 18508 divisible by 9?
  2. 2.Is 76497 divisible by 24?
  3. 3.Is 5457 divisible by 9?
  4. 4.Is 104112 divisible by 18?
  5. 5.Is 28956 divisible by 12?
  6. 6.Is 124 divisible by 2?
  7. 7.Is 20820 divisible by 8?
  8. 8.Is 48196 divisible by 8?
  9. 9.Is 33379 divisible by 7?
  10. 10.Is 2431 divisible by 11?
  11. 11.Is 65495 divisible by 24?
  12. 12.Is 19695 divisible by 5?
  13. 13.Is 21769 divisible by 6?
  14. 14.Is 17857 divisible by 3?
  15. 15.Is 10800 divisible by 20?
  16. 16.Is 53389 divisible by 29?
  17. 17.Is 17910 divisible by 5?
  18. 18.Is 21837 divisible by 29?
  19. 19.Is 42920 divisible by 10?
  20. 20.Is 61185 divisible by 19?
  21. 21.Is 36022 divisible by 10?
  22. 22.Is 6578 divisible by 2?
  23. 23.Is 26883 divisible by 5?
  24. 24.Is 143 divisible by 2?
  25. 25.Is 18708 divisible by 6?
  26. 26.Is 94314 divisible by 15?
  27. 27.Is 16489 divisible by 12?
  28. 28.Is 38984 divisible by 29?
  29. 29.Is 64778 divisible by 23?
  30. 30.Is 2721 divisible by 4?
  31. 31.Is 41318 divisible by 19?
  32. 32.Is 13384 divisible by 4?
  33. 33.Is 46244 divisible by 9?
  34. 34.Is 6936 divisible by 6?
  35. 35.Is 43740 divisible by 18?
  36. 36.Is 6240 divisible by 8?
  37. 37.Is 8456 divisible by 8?
  38. 38.Is 34390 divisible by 5?
  39. 39.Is 13236 divisible by 12?
  40. 40.Is 3936 divisible by 24?

Answer key

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

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