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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 382 · 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 16901 divisible by 30?
  2. 2.Is 61290 divisible by 9?
  3. 3.Is 27896 divisible by 20?
  4. 4.Is 91929 divisible by 24?
  5. 5.Is 1252 divisible by 7?
  6. 6.Is 117601 divisible by 30?
  7. 7.Is 14544 divisible by 3?
  8. 8.Is 28326 divisible by 8?
  9. 9.Is 41931 divisible by 11?
  10. 10.Is 1590 divisible by 5?
  11. 11.Is 12832 divisible by 8?
  12. 12.Is 28093 divisible by 13?
  13. 13.Is 58590 divisible by 18?
  14. 14.Is 39897 divisible by 13?
  15. 15.Is 18324 divisible by 15?
  16. 16.Is 22549 divisible by 4?
  17. 17.Is 48422 divisible by 11?
  18. 18.Is 37177 divisible by 8?
  19. 19.Is 12445 divisible by 2?
  20. 20.Is 4083 divisible by 3?
  21. 21.Is 83924 divisible by 15?
  22. 22.Is 21472 divisible by 7?
  23. 23.Is 79628 divisible by 17?
  24. 24.Is 30247 divisible by 29?
  25. 25.Is 17916 divisible by 5?
  26. 26.Is 18930 divisible by 7?
  27. 27.Is 7311 divisible by 3?
  28. 28.Is 112032 divisible by 24?
  29. 29.Is 109361 divisible by 17?
  30. 30.Is 11991 divisible by 3?
  31. 31.Is 18492 divisible by 12?
  32. 32.Is 8750 divisible by 4?
  33. 33.Is 28921 divisible by 8?
  34. 34.Is 1884 divisible by 6?
  35. 35.Is 25064 divisible by 4?
  36. 36.Is 25441 divisible by 6?
  37. 37.Is 79014 divisible by 13?
  38. 38.Is 2134 divisible by 4?
  39. 39.Is 13870 divisible by 19?
  40. 40.Is 1247 divisible by 3?

Answer key

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

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