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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 957 · 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 25944 divisible by 24?
  2. 2.Is 108609 divisible by 20?
  3. 3.Is 19317 divisible by 11?
  4. 4.Is 20075 divisible by 4?
  5. 5.Is 11880 divisible by 9?
  6. 6.Is 35762 divisible by 30?
  7. 7.Is 38048 divisible by 29?
  8. 8.Is 50263 divisible by 9?
  9. 9.Is 75272 divisible by 15?
  10. 10.Is 96137 divisible by 17?
  11. 11.Is 45958 divisible by 24?
  12. 12.Is 25769 divisible by 4?
  13. 13.Is 103318 divisible by 18?
  14. 14.Is 98297 divisible by 29?
  15. 15.Is 18839 divisible by 15?
  16. 16.Is 6694 divisible by 5?
  17. 17.Is 51876 divisible by 9?
  18. 18.Is 97267 divisible by 30?
  19. 19.Is 114086 divisible by 29?
  20. 20.Is 10812 divisible by 5?
  21. 21.Is 2193 divisible by 17?
  22. 22.Is 43584 divisible by 11?
  23. 23.Is 18495 divisible by 12?
  24. 24.Is 80279 divisible by 29?
  25. 25.Is 144044 divisible by 30?
  26. 26.Is 65918 divisible by 23?
  27. 27.Is 12352 divisible by 3?
  28. 28.Is 112451 divisible by 24?
  29. 29.Is 13022 divisible by 2?
  30. 30.Is 4785 divisible by 4?
  31. 31.Is 22712 divisible by 4?
  32. 32.Is 24480 divisible by 18?
  33. 33.Is 42823 divisible by 17?
  34. 34.Is 6409 divisible by 29?
  35. 35.Is 112162 divisible by 19?
  36. 36.Is 71883 divisible by 12?
  37. 37.Is 76920 divisible by 12?
  38. 38.Is 8768 divisible by 2?
  39. 39.Is 11842 divisible by 20?
  40. 40.Is 61550 divisible by 10?

Answer key

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

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