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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 206 · 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 33660 divisible by 6?
  2. 2.Is 3389 divisible by 5?
  3. 3.Is 20271 divisible by 3?
  4. 4.Is 14610 divisible by 10?
  5. 5.Is 26624 divisible by 13?
  6. 6.Is 62363 divisible by 10?
  7. 7.Is 2114 divisible by 2?
  8. 8.Is 7782 divisible by 10?
  9. 9.Is 14133 divisible by 3?
  10. 10.Is 18375 divisible by 5?
  11. 11.Is 116059 divisible by 17?
  12. 12.Is 33003 divisible by 9?
  13. 13.Is 27843 divisible by 11?
  14. 14.Is 16311 divisible by 3?
  15. 15.Is 34867 divisible by 17?
  16. 16.Is 46758 divisible by 12?
  17. 17.Is 147060 divisible by 24?
  18. 18.Is 79341 divisible by 23?
  19. 19.Is 11298 divisible by 3?
  20. 20.Is 3050 divisible by 7?
  21. 21.Is 29290 divisible by 7?
  22. 22.Is 9858 divisible by 11?
  23. 23.Is 3141 divisible by 3?
  24. 24.Is 24390 divisible by 6?
  25. 25.Is 95682 divisible by 18?
  26. 26.Is 24513 divisible by 30?
  27. 27.Is 12711 divisible by 2?
  28. 28.Is 75439 divisible by 13?
  29. 29.Is 3565 divisible by 23?
  30. 30.Is 89444 divisible by 24?
  31. 31.Is 43362 divisible by 18?
  32. 32.Is 47748 divisible by 10?
  33. 33.Is 46728 divisible by 24?
  34. 34.Is 17539 divisible by 6?
  35. 35.Is 195112 divisible by 29?
  36. 36.Is 160848 divisible by 24?
  37. 37.Is 1800 divisible by 24?
  38. 38.Is 14924 divisible by 17?
  39. 39.Is 14687 divisible by 10?
  40. 40.Is 4561 divisible by 7?

Answer key

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

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