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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 630 · 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 68313 divisible by 10?
  2. 2.Is 21528 divisible by 23?
  3. 3.Is 37992 divisible by 8?
  4. 4.Is 70560 divisible by 12?
  5. 5.Is 28595 divisible by 23?
  6. 6.Is 20558 divisible by 19?
  7. 7.Is 34362 divisible by 23?
  8. 8.Is 12863 divisible by 3?
  9. 9.Is 60048 divisible by 18?
  10. 10.Is 123556 divisible by 23?
  11. 11.Is 3459 divisible by 2?
  12. 12.Is 23831 divisible by 10?
  13. 13.Is 31913 divisible by 7?
  14. 14.Is 4995 divisible by 9?
  15. 15.Is 60997 divisible by 9?
  16. 16.Is 3505 divisible by 2?
  17. 17.Is 24360 divisible by 7?
  18. 18.Is 27318 divisible by 6?
  19. 19.Is 17125 divisible by 13?
  20. 20.Is 14566 divisible by 7?
  21. 21.Is 28712 divisible by 15?
  22. 22.Is 17547 divisible by 3?
  23. 23.Is 14730 divisible by 30?
  24. 24.Is 11846 divisible by 3?
  25. 25.Is 26942 divisible by 19?
  26. 26.Is 8495 divisible by 5?
  27. 27.Is 134178 divisible by 20?
  28. 28.Is 84816 divisible by 24?
  29. 29.Is 110160 divisible by 17?
  30. 30.Is 100700 divisible by 19?
  31. 31.Is 49956 divisible by 23?
  32. 32.Is 19029 divisible by 3?
  33. 33.Is 4104 divisible by 9?
  34. 34.Is 37377 divisible by 15?
  35. 35.Is 8287 divisible by 30?
  36. 36.Is 57870 divisible by 15?
  37. 37.Is 151704 divisible by 24?
  38. 38.Is 128189 divisible by 19?
  39. 39.Is 6459 divisible by 9?
  40. 40.Is 79152 divisible by 17?

Answer key

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

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