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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 240 · 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 117437 divisible by 30?
  2. 2.Is 15027 divisible by 5?
  3. 3.Is 100300 divisible by 20?
  4. 4.Is 15516 divisible by 9?
  5. 5.Is 30236 divisible by 6?
  6. 6.Is 25550 divisible by 5?
  7. 7.Is 2958 divisible by 2?
  8. 8.Is 153150 divisible by 30?
  9. 9.Is 130500 divisible by 20?
  10. 10.Is 19620 divisible by 12?
  11. 11.Is 57012 divisible by 12?
  12. 12.Is 84923 divisible by 17?
  13. 13.Is 38364 divisible by 12?
  14. 14.Is 66089 divisible by 24?
  15. 15.Is 60303 divisible by 12?
  16. 16.Is 76128 divisible by 24?
  17. 17.Is 81896 divisible by 29?
  18. 18.Is 23842 divisible by 13?
  19. 19.Is 11355 divisible by 5?
  20. 20.Is 54810 divisible by 29?
  21. 21.Is 19985 divisible by 5?
  22. 22.Is 10678 divisible by 4?
  23. 23.Is 8484 divisible by 3?
  24. 24.Is 185778 divisible by 30?
  25. 25.Is 5970 divisible by 30?
  26. 26.Is 63860 divisible by 30?
  27. 27.Is 15677 divisible by 11?
  28. 28.Is 8222 divisible by 10?
  29. 29.Is 14785 divisible by 3?
  30. 30.Is 3752 divisible by 7?
  31. 31.Is 50430 divisible by 10?
  32. 32.Is 63752 divisible by 13?
  33. 33.Is 4669 divisible by 4?
  34. 34.Is 7165 divisible by 19?
  35. 35.Is 94440 divisible by 24?
  36. 36.Is 32202 divisible by 6?
  37. 37.Is 25413 divisible by 4?
  38. 38.Is 28065 divisible by 13?
  39. 39.Is 2745 divisible by 2?
  40. 40.Is 35501 divisible by 7?

Answer key

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

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