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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 450 · 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 21222 divisible by 9?
  2. 2.Is 14576 divisible by 4?
  3. 3.Is 44265 divisible by 7?
  4. 4.Is 13727 divisible by 4?
  5. 5.Is 10124 divisible by 20?
  6. 6.Is 1053 divisible by 9?
  7. 7.Is 49744 divisible by 8?
  8. 8.Is 25210 divisible by 13?
  9. 9.Is 22632 divisible by 6?
  10. 10.Is 12679 divisible by 4?
  11. 11.Is 123076 divisible by 29?
  12. 12.Is 52019 divisible by 13?
  13. 13.Is 74520 divisible by 24?
  14. 14.Is 12165 divisible by 24?
  15. 15.Is 24819 divisible by 17?
  16. 16.Is 61577 divisible by 9?
  17. 17.Is 27192 divisible by 6?
  18. 18.Is 6360 divisible by 6?
  19. 19.Is 51995 divisible by 10?
  20. 20.Is 53064 divisible by 12?
  21. 21.Is 6741 divisible by 2?
  22. 22.Is 6509 divisible by 23?
  23. 23.Is 1498 divisible by 2?
  24. 24.Is 20950 divisible by 6?
  25. 25.Is 19272 divisible by 24?
  26. 26.Is 1064 divisible by 2?
  27. 27.Is 11021 divisible by 2?
  28. 28.Is 532 divisible by 7?
  29. 29.Is 37408 divisible by 15?
  30. 30.Is 16280 divisible by 8?
  31. 31.Is 39004 divisible by 7?
  32. 32.Is 29659 divisible by 19?
  33. 33.Is 13479 divisible by 4?
  34. 34.Is 108120 divisible by 20?
  35. 35.Is 5586 divisible by 7?
  36. 36.Is 35578 divisible by 11?
  37. 37.Is 13850 divisible by 5?
  38. 38.Is 40099 divisible by 6?
  39. 39.Is 40859 divisible by 7?
  40. 40.Is 727 divisible by 10?

Answer key

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

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