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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 649 · 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 78216 divisible by 12?
  2. 2.Is 20388 divisible by 7?
  3. 3.Is 26359 divisible by 12?
  4. 4.Is 60972 divisible by 12?
  5. 5.Is 48760 divisible by 10?
  6. 6.Is 16284 divisible by 4?
  7. 7.Is 4778 divisible by 3?
  8. 8.Is 21990 divisible by 15?
  9. 9.Is 10327 divisible by 11?
  10. 10.Is 150456 divisible by 24?
  11. 11.Is 20640 divisible by 10?
  12. 12.Is 27492 divisible by 5?
  13. 13.Is 67045 divisible by 13?
  14. 14.Is 31730 divisible by 5?
  15. 15.Is 58002 divisible by 10?
  16. 16.Is 1425 divisible by 4?
  17. 17.Is 90864 divisible by 18?
  18. 18.Is 13858 divisible by 7?
  19. 19.Is 21437 divisible by 18?
  20. 20.Is 52950 divisible by 15?
  21. 21.Is 12584 divisible by 29?
  22. 22.Is 15245 divisible by 5?
  23. 23.Is 1048 divisible by 6?
  24. 24.Is 10136 divisible by 6?
  25. 25.Is 40133 divisible by 8?
  26. 26.Is 24808 divisible by 4?
  27. 27.Is 15669 divisible by 15?
  28. 28.Is 62002 divisible by 11?
  29. 29.Is 3306 divisible by 19?
  30. 30.Is 16928 divisible by 8?
  31. 31.Is 70402 divisible by 23?
  32. 32.Is 38048 divisible by 8?
  33. 33.Is 29174 divisible by 13?
  34. 34.Is 9647 divisible by 2?
  35. 35.Is 5215 divisible by 5?
  36. 36.Is 21925 divisible by 5?
  37. 37.Is 16198 divisible by 10?
  38. 38.Is 70020 divisible by 20?
  39. 39.Is 755 divisible by 2?
  40. 40.Is 36192 divisible by 13?

Answer key

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

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