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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 735 · 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 28090 divisible by 6?
  2. 2.Is 4717 divisible by 4?
  3. 3.Is 17742 divisible by 3?
  4. 4.Is 7371 divisible by 10?
  5. 5.Is 70785 divisible by 15?
  6. 6.Is 11927 divisible by 6?
  7. 7.Is 8107 divisible by 2?
  8. 8.Is 56298 divisible by 10?
  9. 9.Is 9374 divisible by 5?
  10. 10.Is 11356 divisible by 5?
  11. 11.Is 18282 divisible by 11?
  12. 12.Is 8184 divisible by 3?
  13. 13.Is 2296 divisible by 29?
  14. 14.Is 7413 divisible by 7?
  15. 15.Is 52432 divisible by 9?
  16. 16.Is 11900 divisible by 5?
  17. 17.Is 59680 divisible by 20?
  18. 18.Is 17652 divisible by 8?
  19. 19.Is 12443 divisible by 6?
  20. 20.Is 96755 divisible by 20?
  21. 21.Is 1932 divisible by 10?
  22. 22.Is 78015 divisible by 15?
  23. 23.Is 4340 divisible by 7?
  24. 24.Is 6067 divisible by 11?
  25. 25.Is 18615 divisible by 5?
  26. 26.Is 49561 divisible by 11?
  27. 27.Is 44984 divisible by 11?
  28. 28.Is 41184 divisible by 15?
  29. 29.Is 104280 divisible by 30?
  30. 30.Is 39600 divisible by 30?
  31. 31.Is 4226 divisible by 4?
  32. 32.Is 32885 divisible by 5?
  33. 33.Is 49284 divisible by 9?
  34. 34.Is 10295 divisible by 10?
  35. 35.Is 120796 divisible by 23?
  36. 36.Is 536 divisible by 2?
  37. 37.Is 114632 divisible by 18?
  38. 38.Is 67861 divisible by 13?
  39. 39.Is 13508 divisible by 2?
  40. 40.Is 4986 divisible by 6?

Answer key

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

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