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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 333 · 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 89621 divisible by 13?
  2. 2.Is 19512 divisible by 8?
  3. 3.Is 155833 divisible by 24?
  4. 4.Is 79238 divisible by 12?
  5. 5.Is 125957 divisible by 29?
  6. 6.Is 44924 divisible by 11?
  7. 7.Is 4045 divisible by 12?
  8. 8.Is 6354 divisible by 18?
  9. 9.Is 468 divisible by 13?
  10. 10.Is 104363 divisible by 17?
  11. 11.Is 22956 divisible by 8?
  12. 12.Is 121500 divisible by 20?
  13. 13.Is 51571 divisible by 13?
  14. 14.Is 29313 divisible by 9?
  15. 15.Is 20021 divisible by 7?
  16. 16.Is 37968 divisible by 7?
  17. 17.Is 13893 divisible by 2?
  18. 18.Is 18985 divisible by 15?
  19. 19.Is 203543 divisible by 30?
  20. 20.Is 84726 divisible by 23?
  21. 21.Is 9593 divisible by 3?
  22. 22.Is 4990 divisible by 30?
  23. 23.Is 106920 divisible by 18?
  24. 24.Is 159744 divisible by 24?
  25. 25.Is 18617 divisible by 6?
  26. 26.Is 116686 divisible by 20?
  27. 27.Is 18922 divisible by 6?
  28. 28.Is 44090 divisible by 8?
  29. 29.Is 6370 divisible by 2?
  30. 30.Is 7136 divisible by 6?
  31. 31.Is 31892 divisible by 9?
  32. 32.Is 1859 divisible by 11?
  33. 33.Is 2795 divisible by 6?
  34. 34.Is 15428 divisible by 29?
  35. 35.Is 65351 divisible by 13?
  36. 36.Is 9003 divisible by 6?
  37. 37.Is 51343 divisible by 9?
  38. 38.Is 2603 divisible by 30?
  39. 39.Is 4562 divisible by 2?
  40. 40.Is 682 divisible by 2?

Answer key

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

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