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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 628 · 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 83363 divisible by 17?
  2. 2.Is 58167 divisible by 18?
  3. 3.Is 5805 divisible by 6?
  4. 4.Is 11364 divisible by 19?
  5. 5.Is 11975 divisible by 11?
  6. 6.Is 40847 divisible by 18?
  7. 7.Is 10537 divisible by 5?
  8. 8.Is 23937 divisible by 20?
  9. 9.Is 154790 divisible by 23?
  10. 10.Is 53190 divisible by 11?
  11. 11.Is 10916 divisible by 3?
  12. 12.Is 57457 divisible by 11?
  13. 13.Is 147312 divisible by 24?
  14. 14.Is 82487 divisible by 15?
  15. 15.Is 20538 divisible by 3?
  16. 16.Is 20210 divisible by 3?
  17. 17.Is 57881 divisible by 11?
  18. 18.Is 8674 divisible by 23?
  19. 19.Is 84988 divisible by 29?
  20. 20.Is 113256 divisible by 24?
  21. 21.Is 10133 divisible by 13?
  22. 22.Is 9471 divisible by 17?
  23. 23.Is 23744 divisible by 10?
  24. 24.Is 23475 divisible by 4?
  25. 25.Is 37338 divisible by 7?
  26. 26.Is 35129 divisible by 10?
  27. 27.Is 21021 divisible by 11?
  28. 28.Is 3376 divisible by 9?
  29. 29.Is 22055 divisible by 11?
  30. 30.Is 6555 divisible by 23?
  31. 31.Is 23948 divisible by 4?
  32. 32.Is 20447 divisible by 3?
  33. 33.Is 70020 divisible by 12?
  34. 34.Is 99180 divisible by 30?
  35. 35.Is 33109 divisible by 6?
  36. 36.Is 29489 divisible by 20?
  37. 37.Is 39817 divisible by 9?
  38. 38.Is 24254 divisible by 5?
  39. 39.Is 1972 divisible by 13?
  40. 40.Is 11423 divisible by 3?

Answer key

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

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