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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 555 · 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 137850 divisible by 30?
  2. 2.Is 45414 divisible by 18?
  3. 3.Is 24689 divisible by 8?
  4. 4.Is 44201 divisible by 7?
  5. 5.Is 51601 divisible by 11?
  6. 6.Is 39537 divisible by 23?
  7. 7.Is 120120 divisible by 30?
  8. 8.Is 5663 divisible by 10?
  9. 9.Is 8527 divisible by 3?
  10. 10.Is 73776 divisible by 29?
  11. 11.Is 149485 divisible by 24?
  12. 12.Is 44685 divisible by 9?
  13. 13.Is 23602 divisible by 30?
  14. 14.Is 33300 divisible by 15?
  15. 15.Is 2619 divisible by 2?
  16. 16.Is 93925 divisible by 30?
  17. 17.Is 71616 divisible by 24?
  18. 18.Is 6350 divisible by 10?
  19. 19.Is 50967 divisible by 9?
  20. 20.Is 9818 divisible by 3?
  21. 21.Is 27572 divisible by 19?
  22. 22.Is 20754 divisible by 6?
  23. 23.Is 207990 divisible by 30?
  24. 24.Is 33372 divisible by 15?
  25. 25.Is 45434 divisible by 23?
  26. 26.Is 7068 divisible by 5?
  27. 27.Is 14844 divisible by 19?
  28. 28.Is 55227 divisible by 10?
  29. 29.Is 7722 divisible by 11?
  30. 30.Is 19780 divisible by 17?
  31. 31.Is 21424 divisible by 6?
  32. 32.Is 15713 divisible by 4?
  33. 33.Is 767 divisible by 9?
  34. 34.Is 3247 divisible by 3?
  35. 35.Is 149 divisible by 6?
  36. 36.Is 12633 divisible by 23?
  37. 37.Is 19008 divisible by 12?
  38. 38.Is 29591 divisible by 9?
  39. 39.Is 14103 divisible by 23?
  40. 40.Is 18367 divisible by 11?

Answer key

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

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