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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 883 · 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 23336 divisible by 23?
  2. 2.Is 8057 divisible by 2?
  3. 3.Is 9206 divisible by 5?
  4. 4.Is 4484 divisible by 3?
  5. 5.Is 59448 divisible by 24?
  6. 6.Is 7973 divisible by 7?
  7. 7.Is 46670 divisible by 7?
  8. 8.Is 39955 divisible by 8?
  9. 9.Is 5816 divisible by 7?
  10. 10.Is 3030 divisible by 15?
  11. 11.Is 41762 divisible by 19?
  12. 12.Is 33307 divisible by 5?
  13. 13.Is 13644 divisible by 4?
  14. 14.Is 66743 divisible by 13?
  15. 15.Is 75205 divisible by 11?
  16. 16.Is 154650 divisible by 30?
  17. 17.Is 1197 divisible by 2?
  18. 18.Is 170730 divisible by 30?
  19. 19.Is 58085 divisible by 11?
  20. 20.Is 61922 divisible by 24?
  21. 21.Is 22996 divisible by 4?
  22. 22.Is 5400 divisible by 8?
  23. 23.Is 943 divisible by 3?
  24. 24.Is 9953 divisible by 2?
  25. 25.Is 28560 divisible by 8?
  26. 26.Is 4041 divisible by 9?
  27. 27.Is 39240 divisible by 6?
  28. 28.Is 3211 divisible by 4?
  29. 29.Is 58095 divisible by 15?
  30. 30.Is 6321 divisible by 5?
  31. 31.Is 29652 divisible by 6?
  32. 32.Is 485 divisible by 5?
  33. 33.Is 9339 divisible by 3?
  34. 34.Is 37971 divisible by 9?
  35. 35.Is 16256 divisible by 4?
  36. 36.Is 15507 divisible by 3?
  37. 37.Is 44640 divisible by 10?
  38. 38.Is 11186 divisible by 17?
  39. 39.Is 39132 divisible by 18?
  40. 40.Is 70871 divisible by 15?

Answer key

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

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