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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 288 · 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 85968 divisible by 24?
  2. 2.Is 43440 divisible by 20?
  3. 3.Is 40073 divisible by 10?
  4. 4.Is 10070 divisible by 11?
  5. 5.Is 39052 divisible by 13?
  6. 6.Is 27102 divisible by 9?
  7. 7.Is 87192 divisible by 18?
  8. 8.Is 38077 divisible by 18?
  9. 9.Is 64992 divisible by 20?
  10. 10.Is 4194 divisible by 18?
  11. 11.Is 28635 divisible by 15?
  12. 12.Is 3139 divisible by 11?
  13. 13.Is 8163 divisible by 3?
  14. 14.Is 116700 divisible by 30?
  15. 15.Is 46947 divisible by 9?
  16. 16.Is 24207 divisible by 5?
  17. 17.Is 49194 divisible by 20?
  18. 18.Is 16251 divisible by 5?
  19. 19.Is 23840 divisible by 7?
  20. 20.Is 18029 divisible by 11?
  21. 21.Is 11685 divisible by 2?
  22. 22.Is 39115 divisible by 7?
  23. 23.Is 22729 divisible by 7?
  24. 24.Is 59543 divisible by 30?
  25. 25.Is 141749 divisible by 24?
  26. 26.Is 1880 divisible by 20?
  27. 27.Is 29252 divisible by 11?
  28. 28.Is 11336 divisible by 6?
  29. 29.Is 44072 divisible by 7?
  30. 30.Is 7013 divisible by 9?
  31. 31.Is 29985 divisible by 24?
  32. 32.Is 63482 divisible by 23?
  33. 33.Is 76560 divisible by 12?
  34. 34.Is 42158 divisible by 18?
  35. 35.Is 12600 divisible by 6?
  36. 36.Is 181274 divisible by 30?
  37. 37.Is 13719 divisible by 2?
  38. 38.Is 7042 divisible by 5?
  39. 39.Is 34481 divisible by 8?
  40. 40.Is 27620 divisible by 5?

Answer key

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

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