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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 982 · 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 59640 divisible by 15?
  2. 2.Is 7303 divisible by 8?
  3. 3.Is 45134 divisible by 20?
  4. 4.Is 43368 divisible by 24?
  5. 5.Is 2899 divisible by 13?
  6. 6.Is 4526 divisible by 5?
  7. 7.Is 2052 divisible by 2?
  8. 8.Is 18668 divisible by 5?
  9. 9.Is 16783 divisible by 13?
  10. 10.Is 41151 divisible by 29?
  11. 11.Is 4758 divisible by 6?
  12. 12.Is 2222 divisible by 12?
  13. 13.Is 21760 divisible by 17?
  14. 14.Is 6703 divisible by 3?
  15. 15.Is 49290 divisible by 18?
  16. 16.Is 17242 divisible by 9?
  17. 17.Is 16067 divisible by 9?
  18. 18.Is 38124 divisible by 8?
  19. 19.Is 21069 divisible by 9?
  20. 20.Is 62270 divisible by 13?
  21. 21.Is 95551 divisible by 24?
  22. 22.Is 5801 divisible by 2?
  23. 23.Is 135827 divisible by 24?
  24. 24.Is 104857 divisible by 23?
  25. 25.Is 850 divisible by 10?
  26. 26.Is 6724 divisible by 3?
  27. 27.Is 49474 divisible by 24?
  28. 28.Is 119465 divisible by 24?
  29. 29.Is 34848 divisible by 8?
  30. 30.Is 25723 divisible by 11?
  31. 31.Is 23849 divisible by 8?
  32. 32.Is 2292 divisible by 6?
  33. 33.Is 12552 divisible by 7?
  34. 34.Is 4739 divisible by 3?
  35. 35.Is 31740 divisible by 30?
  36. 36.Is 56525 divisible by 12?
  37. 37.Is 62198 divisible by 24?
  38. 38.Is 8096 divisible by 4?
  39. 39.Is 89042 divisible by 24?
  40. 40.Is 81301 divisible by 15?

Answer key

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

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