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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 48 · 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 6384 divisible by 7?
  2. 2.Is 118873 divisible by 17?
  3. 3.Is 9225 divisible by 2?
  4. 4.Is 14055 divisible by 3?
  5. 5.Is 71085 divisible by 13?
  6. 6.Is 26222 divisible by 4?
  7. 7.Is 10918 divisible by 3?
  8. 8.Is 17380 divisible by 4?
  9. 9.Is 30265 divisible by 5?
  10. 10.Is 1889 divisible by 4?
  11. 11.Is 2334 divisible by 24?
  12. 12.Is 20790 divisible by 18?
  13. 13.Is 19922 divisible by 8?
  14. 14.Is 52032 divisible by 24?
  15. 15.Is 22274 divisible by 7?
  16. 16.Is 116604 divisible by 18?
  17. 17.Is 109082 divisible by 30?
  18. 18.Is 12555 divisible by 8?
  19. 19.Is 55020 divisible by 20?
  20. 20.Is 2568 divisible by 4?
  21. 21.Is 27748 divisible by 4?
  22. 22.Is 89610 divisible by 15?
  23. 23.Is 46202 divisible by 13?
  24. 24.Is 30480 divisible by 12?
  25. 25.Is 69223 divisible by 29?
  26. 26.Is 2285 divisible by 7?
  27. 27.Is 10240 divisible by 20?
  28. 28.Is 52706 divisible by 11?
  29. 29.Is 2220 divisible by 12?
  30. 30.Is 33551 divisible by 5?
  31. 31.Is 38430 divisible by 15?
  32. 32.Is 45834 divisible by 9?
  33. 33.Is 8344 divisible by 7?
  34. 34.Is 18225 divisible by 15?
  35. 35.Is 9152 divisible by 13?
  36. 36.Is 40920 divisible by 8?
  37. 37.Is 18260 divisible by 3?
  38. 38.Is 15552 divisible by 8?
  39. 39.Is 29848 divisible by 6?
  40. 40.Is 24213 divisible by 7?

Answer key

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

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