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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 410 · 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 11169 divisible by 5?
  2. 2.Is 68589 divisible by 19?
  3. 3.Is 17616 divisible by 8?
  4. 4.Is 19656 divisible by 18?
  5. 5.Is 40730 divisible by 11?
  6. 6.Is 7484 divisible by 29?
  7. 7.Is 73908 divisible by 29?
  8. 8.Is 23452 divisible by 13?
  9. 9.Is 10630 divisible by 5?
  10. 10.Is 102492 divisible by 20?
  11. 11.Is 7092 divisible by 19?
  12. 12.Is 10759 divisible by 24?
  13. 13.Is 10488 divisible by 2?
  14. 14.Is 94998 divisible by 17?
  15. 15.Is 76193 divisible by 13?
  16. 16.Is 50884 divisible by 24?
  17. 17.Is 8820 divisible by 5?
  18. 18.Is 1911 divisible by 5?
  19. 19.Is 22068 divisible by 11?
  20. 20.Is 4112 divisible by 5?
  21. 21.Is 29520 divisible by 20?
  22. 22.Is 45126 divisible by 18?
  23. 23.Is 110568 divisible by 17?
  24. 24.Is 16824 divisible by 24?
  25. 25.Is 53616 divisible by 12?
  26. 26.Is 19642 divisible by 23?
  27. 27.Is 5709 divisible by 2?
  28. 28.Is 88296 divisible by 24?
  29. 29.Is 10803 divisible by 13?
  30. 30.Is 48675 divisible by 12?
  31. 31.Is 24961 divisible by 20?
  32. 32.Is 16620 divisible by 30?
  33. 33.Is 11736 divisible by 8?
  34. 34.Is 11956 divisible by 8?
  35. 35.Is 9048 divisible by 2?
  36. 36.Is 6851 divisible by 13?
  37. 37.Is 69906 divisible by 15?
  38. 38.Is 6643 divisible by 4?
  39. 39.Is 5327 divisible by 2?
  40. 40.Is 10691 divisible by 10?

Answer key

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

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