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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 286 · 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 44244 divisible by 8?
  2. 2.Is 9850 divisible by 10?
  3. 3.Is 23604 divisible by 5?
  4. 4.Is 8831 divisible by 5?
  5. 5.Is 18024 divisible by 6?
  6. 6.Is 14375 divisible by 8?
  7. 7.Is 8613 divisible by 7?
  8. 8.Is 2430 divisible by 3?
  9. 9.Is 11712 divisible by 3?
  10. 10.Is 54855 divisible by 9?
  11. 11.Is 21100 divisible by 5?
  12. 12.Is 36721 divisible by 8?
  13. 13.Is 51789 divisible by 8?
  14. 14.Is 7255 divisible by 2?
  15. 15.Is 41973 divisible by 20?
  16. 16.Is 84406 divisible by 20?
  17. 17.Is 14160 divisible by 12?
  18. 18.Is 73656 divisible by 11?
  19. 19.Is 14790 divisible by 15?
  20. 20.Is 1270 divisible by 3?
  21. 21.Is 22133 divisible by 5?
  22. 22.Is 13745 divisible by 5?
  23. 23.Is 133488 divisible by 24?
  24. 24.Is 42787 divisible by 19?
  25. 25.Is 55727 divisible by 19?
  26. 26.Is 120143 divisible by 18?
  27. 27.Is 2964 divisible by 5?
  28. 28.Is 15342 divisible by 8?
  29. 29.Is 30318 divisible by 29?
  30. 30.Is 10263 divisible by 8?
  31. 31.Is 15067 divisible by 4?
  32. 32.Is 265 divisible by 2?
  33. 33.Is 7605 divisible by 9?
  34. 34.Is 58572 divisible by 12?
  35. 35.Is 45346 divisible by 7?
  36. 36.Is 9221 divisible by 2?
  37. 37.Is 36812 divisible by 12?
  38. 38.Is 25631 divisible by 19?
  39. 39.Is 9482 divisible by 10?
  40. 40.Is 21109 divisible by 19?

Answer key

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

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