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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 125 · 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 452 divisible by 2?
  2. 2.Is 9072 divisible by 4?
  3. 3.Is 71766 divisible by 13?
  4. 4.Is 161070 divisible by 30?
  5. 5.Is 181560 divisible by 30?
  6. 6.Is 98202 divisible by 15?
  7. 7.Is 29828 divisible by 5?
  8. 8.Is 95728 divisible by 17?
  9. 9.Is 4296 divisible by 2?
  10. 10.Is 28110 divisible by 15?
  11. 11.Is 45054 divisible by 9?
  12. 12.Is 30910 divisible by 11?
  13. 13.Is 10057 divisible by 2?
  14. 14.Is 40060 divisible by 23?
  15. 15.Is 1558 divisible by 19?
  16. 16.Is 118890 divisible by 30?
  17. 17.Is 20946 divisible by 6?
  18. 18.Is 10862 divisible by 23?
  19. 19.Is 45396 divisible by 12?
  20. 20.Is 703 divisible by 3?
  21. 21.Is 8196 divisible by 2?
  22. 22.Is 5874 divisible by 2?
  23. 23.Is 10910 divisible by 12?
  24. 24.Is 60645 divisible by 15?
  25. 25.Is 21751 divisible by 6?
  26. 26.Is 6542 divisible by 12?
  27. 27.Is 81796 divisible by 20?
  28. 28.Is 17082 divisible by 9?
  29. 29.Is 54100 divisible by 10?
  30. 30.Is 53167 divisible by 30?
  31. 31.Is 31219 divisible by 6?
  32. 32.Is 54007 divisible by 11?
  33. 33.Is 99994 divisible by 17?
  34. 34.Is 29095 divisible by 13?
  35. 35.Is 186480 divisible by 30?
  36. 36.Is 81144 divisible by 18?
  37. 37.Is 9928 divisible by 8?
  38. 38.Is 113928 divisible by 24?
  39. 39.Is 20093 divisible by 4?
  40. 40.Is 41657 divisible by 23?

Answer key

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

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