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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 733 · 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 13880 divisible by 10?
  2. 2.Is 126960 divisible by 19?
  3. 3.Is 16188 divisible by 12?
  4. 4.Is 10068 divisible by 2?
  5. 5.Is 6852 divisible by 12?
  6. 6.Is 22155 divisible by 15?
  7. 7.Is 70777 divisible by 24?
  8. 8.Is 27124 divisible by 4?
  9. 9.Is 38717 divisible by 11?
  10. 10.Is 10372 divisible by 3?
  11. 11.Is 142711 divisible by 29?
  12. 12.Is 5771 divisible by 8?
  13. 13.Is 4395 divisible by 2?
  14. 14.Is 78039 divisible by 23?
  15. 15.Is 59653 divisible by 12?
  16. 16.Is 5411 divisible by 8?
  17. 17.Is 124899 divisible by 30?
  18. 18.Is 31397 divisible by 8?
  19. 19.Is 43560 divisible by 7?
  20. 20.Is 40970 divisible by 10?
  21. 21.Is 102493 divisible by 24?
  22. 22.Is 17520 divisible by 5?
  23. 23.Is 3316 divisible by 9?
  24. 24.Is 10008 divisible by 29?
  25. 25.Is 22281 divisible by 6?
  26. 26.Is 15912 divisible by 7?
  27. 27.Is 199500 divisible by 30?
  28. 28.Is 77460 divisible by 30?
  29. 29.Is 4599 divisible by 10?
  30. 30.Is 67044 divisible by 12?
  31. 31.Is 13336 divisible by 4?
  32. 32.Is 148584 divisible by 24?
  33. 33.Is 67353 divisible by 13?
  34. 34.Is 131312 divisible by 24?
  35. 35.Is 21527 divisible by 9?
  36. 36.Is 23381 divisible by 8?
  37. 37.Is 24788 divisible by 4?
  38. 38.Is 30896 divisible by 8?
  39. 39.Is 69536 divisible by 19?
  40. 40.Is 915 divisible by 15?

Answer key

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

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