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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 731 · 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 27568 divisible by 4?
  2. 2.Is 47355 divisible by 8?
  3. 3.Is 60983 divisible by 9?
  4. 4.Is 160704 divisible by 24?
  5. 5.Is 5238 divisible by 18?
  6. 6.Is 85350 divisible by 30?
  7. 7.Is 37060 divisible by 18?
  8. 8.Is 77321 divisible by 20?
  9. 9.Is 8855 divisible by 5?
  10. 10.Is 8055 divisible by 18?
  11. 11.Is 1241 divisible by 2?
  12. 12.Is 20752 divisible by 4?
  13. 13.Is 6410 divisible by 5?
  14. 14.Is 19256 divisible by 29?
  15. 15.Is 5189 divisible by 3?
  16. 16.Is 50792 divisible by 19?
  17. 17.Is 12810 divisible by 2?
  18. 18.Is 9169 divisible by 5?
  19. 19.Is 5760 divisible by 3?
  20. 20.Is 24385 divisible by 4?
  21. 21.Is 2550 divisible by 17?
  22. 22.Is 35176 divisible by 6?
  23. 23.Is 7990 divisible by 30?
  24. 24.Is 125290 divisible by 18?
  25. 25.Is 11851 divisible by 7?
  26. 26.Is 7952 divisible by 7?
  27. 27.Is 9522 divisible by 6?
  28. 28.Is 9520 divisible by 17?
  29. 29.Is 72522 divisible by 17?
  30. 30.Is 2768 divisible by 5?
  31. 31.Is 98496 divisible by 18?
  32. 32.Is 54682 divisible by 19?
  33. 33.Is 48042 divisible by 9?
  34. 34.Is 643 divisible by 2?
  35. 35.Is 51740 divisible by 13?
  36. 36.Is 2865 divisible by 4?
  37. 37.Is 5337 divisible by 9?
  38. 38.Is 62064 divisible by 24?
  39. 39.Is 60865 divisible by 15?
  40. 40.Is 83244 divisible by 24?

Answer key

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

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