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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 215 · 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 22913 divisible by 11?
  2. 2.Is 16737 divisible by 4?
  3. 3.Is 42119 divisible by 11?
  4. 4.Is 59218 divisible by 23?
  5. 5.Is 7486 divisible by 19?
  6. 6.Is 60489 divisible by 11?
  7. 7.Is 65982 divisible by 20?
  8. 8.Is 896 divisible by 4?
  9. 9.Is 5179 divisible by 6?
  10. 10.Is 6311 divisible by 2?
  11. 11.Is 40144 divisible by 13?
  12. 12.Is 9756 divisible by 6?
  13. 13.Is 17202 divisible by 4?
  14. 14.Is 23428 divisible by 4?
  15. 15.Is 6728 divisible by 8?
  16. 16.Is 1492 divisible by 3?
  17. 17.Is 62594 divisible by 13?
  18. 18.Is 13027 divisible by 5?
  19. 19.Is 61453 divisible by 23?
  20. 20.Is 36800 divisible by 10?
  21. 21.Is 17124 divisible by 4?
  22. 22.Is 10147 divisible by 2?
  23. 23.Is 35689 divisible by 11?
  24. 24.Is 14933 divisible by 10?
  25. 25.Is 30425 divisible by 6?
  26. 26.Is 28859 divisible by 6?
  27. 27.Is 18541 divisible by 12?
  28. 28.Is 100640 divisible by 17?
  29. 29.Is 45935 divisible by 19?
  30. 30.Is 87363 divisible by 17?
  31. 31.Is 13223 divisible by 3?
  32. 32.Is 41132 divisible by 7?
  33. 33.Is 3768 divisible by 23?
  34. 34.Is 14178 divisible by 8?
  35. 35.Is 70735 divisible by 30?
  36. 36.Is 2330 divisible by 3?
  37. 37.Is 13740 divisible by 2?
  38. 38.Is 3366 divisible by 17?
  39. 39.Is 119580 divisible by 30?
  40. 40.Is 10983 divisible by 4?

Answer key

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

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