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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 27 · 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 56503 divisible by 15?
  2. 2.Is 62758 divisible by 18?
  3. 3.Is 112158 divisible by 24?
  4. 4.Is 180977 divisible by 29?
  5. 5.Is 1473 divisible by 3?
  6. 6.Is 5064 divisible by 6?
  7. 7.Is 2640 divisible by 8?
  8. 8.Is 86871 divisible by 17?
  9. 9.Is 95976 divisible by 18?
  10. 10.Is 2350 divisible by 2?
  11. 11.Is 49764 divisible by 11?
  12. 12.Is 47310 divisible by 30?
  13. 13.Is 18270 divisible by 10?
  14. 14.Is 40066 divisible by 15?
  15. 15.Is 126846 divisible by 29?
  16. 16.Is 47262 divisible by 24?
  17. 17.Is 53780 divisible by 8?
  18. 18.Is 47686 divisible by 12?
  19. 19.Is 46829 divisible by 23?
  20. 20.Is 89002 divisible by 17?
  21. 21.Is 55005 divisible by 15?
  22. 22.Is 130020 divisible by 30?
  23. 23.Is 33570 divisible by 18?
  24. 24.Is 6712 divisible by 2?
  25. 25.Is 12906 divisible by 5?
  26. 26.Is 79490 divisible by 12?
  27. 27.Is 57516 divisible by 17?
  28. 28.Is 153767 divisible by 23?
  29. 29.Is 16064 divisible by 4?
  30. 30.Is 56838 divisible by 15?
  31. 31.Is 128538 divisible by 19?
  32. 32.Is 160264 divisible by 23?
  33. 33.Is 33661 divisible by 29?
  34. 34.Is 86803 divisible by 17?
  35. 35.Is 61062 divisible by 24?
  36. 36.Is 88236 divisible by 18?
  37. 37.Is 10850 divisible by 5?
  38. 38.Is 40480 divisible by 20?
  39. 39.Is 84253 divisible by 13?
  40. 40.Is 8931 divisible by 3?

Answer key

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

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