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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 258 · 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 11460 divisible by 3?
  2. 2.Is 4405 divisible by 5?
  3. 3.Is 52067 divisible by 9?
  4. 4.Is 10805 divisible by 5?
  5. 5.Is 5076 divisible by 18?
  6. 6.Is 121920 divisible by 20?
  7. 7.Is 47104 divisible by 23?
  8. 8.Is 37314 divisible by 6?
  9. 9.Is 120381 divisible by 24?
  10. 10.Is 6492 divisible by 13?
  11. 11.Is 94752 divisible by 18?
  12. 12.Is 119501 divisible by 23?
  13. 13.Is 24042 divisible by 6?
  14. 14.Is 141220 divisible by 23?
  15. 15.Is 46322 divisible by 8?
  16. 16.Is 21584 divisible by 19?
  17. 17.Is 31797 divisible by 9?
  18. 18.Is 7100 divisible by 4?
  19. 19.Is 9662 divisible by 5?
  20. 20.Is 20110 divisible by 17?
  21. 21.Is 7358 divisible by 7?
  22. 22.Is 200912 divisible by 29?
  23. 23.Is 24424 divisible by 4?
  24. 24.Is 25393 divisible by 5?
  25. 25.Is 774 divisible by 5?
  26. 26.Is 100207 divisible by 23?
  27. 27.Is 113980 divisible by 20?
  28. 28.Is 62989 divisible by 20?
  29. 29.Is 133016 divisible by 24?
  30. 30.Is 34470 divisible by 6?
  31. 31.Is 158585 divisible by 23?
  32. 32.Is 109300 divisible by 17?
  33. 33.Is 97382 divisible by 23?
  34. 34.Is 79327 divisible by 23?
  35. 35.Is 20357 divisible by 8?
  36. 36.Is 34761 divisible by 17?
  37. 37.Is 138504 divisible by 24?
  38. 38.Is 44150 divisible by 10?
  39. 39.Is 2250 divisible by 4?
  40. 40.Is 1953 divisible by 2?

Answer key

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

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