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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 638 · 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 14881 divisible by 10?
  2. 2.Is 1723 divisible by 6?
  3. 3.Is 17860 divisible by 5?
  4. 4.Is 101200 divisible by 20?
  5. 5.Is 151254 divisible by 30?
  6. 6.Is 13396 divisible by 2?
  7. 7.Is 180384 divisible by 29?
  8. 8.Is 16264 divisible by 19?
  9. 9.Is 10096 divisible by 2?
  10. 10.Is 118636 divisible by 24?
  11. 11.Is 121945 divisible by 29?
  12. 12.Is 22214 divisible by 29?
  13. 13.Is 10192 divisible by 2?
  14. 14.Is 23376 divisible by 20?
  15. 15.Is 28237 divisible by 17?
  16. 16.Is 69068 divisible by 13?
  17. 17.Is 30991 divisible by 20?
  18. 18.Is 4665 divisible by 2?
  19. 19.Is 11740 divisible by 2?
  20. 20.Is 49470 divisible by 17?
  21. 21.Is 29226 divisible by 15?
  22. 22.Is 37330 divisible by 7?
  23. 23.Is 3298 divisible by 24?
  24. 24.Is 6723 divisible by 6?
  25. 25.Is 20664 divisible by 6?
  26. 26.Is 22725 divisible by 6?
  27. 27.Is 33819 divisible by 23?
  28. 28.Is 33460 divisible by 19?
  29. 29.Is 74880 divisible by 30?
  30. 30.Is 33793 divisible by 5?
  31. 31.Is 159128 divisible by 29?
  32. 32.Is 3853 divisible by 2?
  33. 33.Is 104827 divisible by 15?
  34. 34.Is 83797 divisible by 12?
  35. 35.Is 17944 divisible by 3?
  36. 36.Is 34905 divisible by 15?
  37. 37.Is 27779 divisible by 20?
  38. 38.Is 15100 divisible by 4?
  39. 39.Is 17550 divisible by 6?
  40. 40.Is 2344 divisible by 4?

Answer key

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

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