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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 80 · 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 12499 divisible by 2?
  2. 2.Is 484 divisible by 4?
  3. 3.Is 20102 divisible by 8?
  4. 4.Is 138930 divisible by 30?
  5. 5.Is 66114 divisible by 11?
  6. 6.Is 24677 divisible by 7?
  7. 7.Is 30304 divisible by 8?
  8. 8.Is 28143 divisible by 10?
  9. 9.Is 65040 divisible by 30?
  10. 10.Is 173304 divisible by 29?
  11. 11.Is 82692 divisible by 12?
  12. 12.Is 2821 divisible by 13?
  13. 13.Is 20695 divisible by 5?
  14. 14.Is 35794 divisible by 11?
  15. 15.Is 26640 divisible by 5?
  16. 16.Is 21882 divisible by 10?
  17. 17.Is 2002 divisible by 7?
  18. 18.Is 151530 divisible by 30?
  19. 19.Is 96345 divisible by 15?
  20. 20.Is 2479 divisible by 7?
  21. 21.Is 72984 divisible by 15?
  22. 22.Is 38110 divisible by 7?
  23. 23.Is 17450 divisible by 5?
  24. 24.Is 81870 divisible by 12?
  25. 25.Is 41307 divisible by 7?
  26. 26.Is 11716 divisible by 10?
  27. 27.Is 39368 divisible by 10?
  28. 28.Is 24286 divisible by 8?
  29. 29.Is 19628 divisible by 7?
  30. 30.Is 124253 divisible by 24?
  31. 31.Is 47817 divisible by 9?
  32. 32.Is 1809 divisible by 4?
  33. 33.Is 38368 divisible by 8?
  34. 34.Is 133059 divisible by 24?
  35. 35.Is 32810 divisible by 13?
  36. 36.Is 5217 divisible by 2?
  37. 37.Is 88880 divisible by 20?
  38. 38.Is 80460 divisible by 12?
  39. 39.Is 55593 divisible by 29?
  40. 40.Is 26975 divisible by 5?

Answer key

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

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