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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 349 · 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 40598 divisible by 8?
  2. 2.Is 6290 divisible by 2?
  3. 3.Is 35170 divisible by 12?
  4. 4.Is 49101 divisible by 13?
  5. 5.Is 6466 divisible by 3?
  6. 6.Is 67932 divisible by 17?
  7. 7.Is 5051 divisible by 2?
  8. 8.Is 38220 divisible by 7?
  9. 9.Is 178050 divisible by 30?
  10. 10.Is 14000 divisible by 10?
  11. 11.Is 21626 divisible by 12?
  12. 12.Is 361 divisible by 19?
  13. 13.Is 51300 divisible by 9?
  14. 14.Is 6324 divisible by 2?
  15. 15.Is 25067 divisible by 4?
  16. 16.Is 22588 divisible by 13?
  17. 17.Is 8866 divisible by 11?
  18. 18.Is 25471 divisible by 5?
  19. 19.Is 19248 divisible by 3?
  20. 20.Is 18664 divisible by 24?
  21. 21.Is 63162 divisible by 11?
  22. 22.Is 36883 divisible by 11?
  23. 23.Is 30215 divisible by 5?
  24. 24.Is 33624 divisible by 18?
  25. 25.Is 42806 divisible by 9?
  26. 26.Is 1780 divisible by 2?
  27. 27.Is 67017 divisible by 30?
  28. 28.Is 24954 divisible by 10?
  29. 29.Is 38419 divisible by 11?
  30. 30.Is 20031 divisible by 5?
  31. 31.Is 30911 divisible by 9?
  32. 32.Is 48549 divisible by 8?
  33. 33.Is 21088 divisible by 8?
  34. 34.Is 6456 divisible by 3?
  35. 35.Is 5173 divisible by 4?
  36. 36.Is 5040 divisible by 10?
  37. 37.Is 6479 divisible by 5?
  38. 38.Is 17380 divisible by 11?
  39. 39.Is 19872 divisible by 19?
  40. 40.Is 33725 divisible by 6?

Answer key

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

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