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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 527 · 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 12871 divisible by 5?
  2. 2.Is 3270 divisible by 2?
  3. 3.Is 39550 divisible by 7?
  4. 4.Is 134917 divisible by 23?
  5. 5.Is 52481 divisible by 11?
  6. 6.Is 29279 divisible by 6?
  7. 7.Is 31800 divisible by 10?
  8. 8.Is 36379 divisible by 10?
  9. 9.Is 26918 divisible by 5?
  10. 10.Is 47780 divisible by 11?
  11. 11.Is 39739 divisible by 7?
  12. 12.Is 9485 divisible by 4?
  13. 13.Is 133368 divisible by 24?
  14. 14.Is 27820 divisible by 5?
  15. 15.Is 440 divisible by 3?
  16. 16.Is 70722 divisible by 24?
  17. 17.Is 61693 divisible by 17?
  18. 18.Is 84510 divisible by 15?
  19. 19.Is 17932 divisible by 20?
  20. 20.Is 63504 divisible by 18?
  21. 21.Is 58052 divisible by 13?
  22. 22.Is 42530 divisible by 10?
  23. 23.Is 48326 divisible by 29?
  24. 24.Is 35285 divisible by 11?
  25. 25.Is 45771 divisible by 8?
  26. 26.Is 17922 divisible by 3?
  27. 27.Is 73623 divisible by 23?
  28. 28.Is 9850 divisible by 5?
  29. 29.Is 48370 divisible by 7?
  30. 30.Is 9018 divisible by 3?
  31. 31.Is 52970 divisible by 10?
  32. 32.Is 132061 divisible by 19?
  33. 33.Is 52480 divisible by 20?
  34. 34.Is 1639 divisible by 7?
  35. 35.Is 63231 divisible by 10?
  36. 36.Is 55770 divisible by 30?
  37. 37.Is 7567 divisible by 3?
  38. 38.Is 85403 divisible by 13?
  39. 39.Is 26346 divisible by 12?
  40. 40.Is 19278 divisible by 5?

Answer key

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

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