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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 669 · 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 9158 divisible by 19?
  2. 2.Is 6658 divisible by 7?
  3. 3.Is 33932 divisible by 6?
  4. 4.Is 76518 divisible by 18?
  5. 5.Is 13682 divisible by 6?
  6. 6.Is 73579 divisible by 11?
  7. 7.Is 46175 divisible by 7?
  8. 8.Is 2934 divisible by 2?
  9. 9.Is 24091 divisible by 5?
  10. 10.Is 48756 divisible by 30?
  11. 11.Is 11835 divisible by 8?
  12. 12.Is 10662 divisible by 2?
  13. 13.Is 65079 divisible by 13?
  14. 14.Is 19825 divisible by 12?
  15. 15.Is 4761 divisible by 9?
  16. 16.Is 15386 divisible by 3?
  17. 17.Is 64641 divisible by 10?
  18. 18.Is 1439 divisible by 13?
  19. 19.Is 34971 divisible by 5?
  20. 20.Is 45242 divisible by 17?
  21. 21.Is 18089 divisible by 29?
  22. 22.Is 5876 divisible by 5?
  23. 23.Is 14292 divisible by 4?
  24. 24.Is 161412 divisible by 24?
  25. 25.Is 65860 divisible by 10?
  26. 26.Is 75746 divisible by 29?
  27. 27.Is 51304 divisible by 8?
  28. 28.Is 891 divisible by 2?
  29. 29.Is 76519 divisible by 15?
  30. 30.Is 108921 divisible by 18?
  31. 31.Is 18782 divisible by 15?
  32. 32.Is 9288 divisible by 8?
  33. 33.Is 9382 divisible by 3?
  34. 34.Is 24043 divisible by 4?
  35. 35.Is 12029 divisible by 4?
  36. 36.Is 66942 divisible by 18?
  37. 37.Is 47068 divisible by 9?
  38. 38.Is 39812 divisible by 6?
  39. 39.Is 48808 divisible by 7?
  40. 40.Is 5737 divisible by 6?

Answer key

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

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