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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 848 · 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 91523 divisible by 19?
  2. 2.Is 16660 divisible by 5?
  3. 3.Is 20818 divisible by 3?
  4. 4.Is 80252 divisible by 15?
  5. 5.Is 113120 divisible by 17?
  6. 6.Is 44472 divisible by 24?
  7. 7.Is 5800 divisible by 4?
  8. 8.Is 55680 divisible by 30?
  9. 9.Is 12742 divisible by 2?
  10. 10.Is 34915 divisible by 7?
  11. 11.Is 824 divisible by 5?
  12. 12.Is 13129 divisible by 3?
  13. 13.Is 16288 divisible by 4?
  14. 14.Is 48944 divisible by 23?
  15. 15.Is 79488 divisible by 23?
  16. 16.Is 99990 divisible by 18?
  17. 17.Is 12556 divisible by 2?
  18. 18.Is 51116 divisible by 13?
  19. 19.Is 4979 divisible by 8?
  20. 20.Is 2801 divisible by 23?
  21. 21.Is 83489 divisible by 17?
  22. 22.Is 111535 divisible by 17?
  23. 23.Is 33242 divisible by 6?
  24. 24.Is 59179 divisible by 11?
  25. 25.Is 66861 divisible by 23?
  26. 26.Is 28260 divisible by 6?
  27. 27.Is 42482 divisible by 8?
  28. 28.Is 51300 divisible by 30?
  29. 29.Is 20216 divisible by 8?
  30. 30.Is 34023 divisible by 11?
  31. 31.Is 48802 divisible by 13?
  32. 32.Is 43932 divisible by 7?
  33. 33.Is 85317 divisible by 17?
  34. 34.Is 110811 divisible by 18?
  35. 35.Is 10625 divisible by 5?
  36. 36.Is 13235 divisible by 7?
  37. 37.Is 89907 divisible by 23?
  38. 38.Is 22698 divisible by 18?
  39. 39.Is 37410 divisible by 20?
  40. 40.Is 26940 divisible by 4?

Answer key

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

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