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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 906 · 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 22420 divisible by 10?
  2. 2.Is 71069 divisible by 20?
  3. 3.Is 1036 divisible by 11?
  4. 4.Is 12493 divisible by 2?
  5. 5.Is 9126 divisible by 13?
  6. 6.Is 4795 divisible by 2?
  7. 7.Is 22285 divisible by 5?
  8. 8.Is 81415 divisible by 19?
  9. 9.Is 29064 divisible by 24?
  10. 10.Is 19340 divisible by 20?
  11. 11.Is 33163 divisible by 5?
  12. 12.Is 45769 divisible by 18?
  13. 13.Is 44220 divisible by 10?
  14. 14.Is 34650 divisible by 11?
  15. 15.Is 12436 divisible by 4?
  16. 16.Is 50 divisible by 3?
  17. 17.Is 15962 divisible by 9?
  18. 18.Is 74278 divisible by 24?
  19. 19.Is 21420 divisible by 13?
  20. 20.Is 13653 divisible by 4?
  21. 21.Is 23041 divisible by 12?
  22. 22.Is 137 divisible by 6?
  23. 23.Is 34201 divisible by 5?
  24. 24.Is 2299 divisible by 11?
  25. 25.Is 5523 divisible by 4?
  26. 26.Is 51413 divisible by 13?
  27. 27.Is 18311 divisible by 3?
  28. 28.Is 19516 divisible by 11?
  29. 29.Is 155007 divisible by 23?
  30. 30.Is 119808 divisible by 24?
  31. 31.Is 73560 divisible by 20?
  32. 32.Is 1680 divisible by 5?
  33. 33.Is 2717 divisible by 13?
  34. 34.Is 137631 divisible by 23?
  35. 35.Is 110927 divisible by 19?
  36. 36.Is 92379 divisible by 19?
  37. 37.Is 52701 divisible by 11?
  38. 38.Is 22110 divisible by 8?
  39. 39.Is 6463 divisible by 9?
  40. 40.Is 18256 divisible by 3?

Answer key

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

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