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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 171 · 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 20383 divisible by 18?
  2. 2.Is 48279 divisible by 8?
  3. 3.Is 24518 divisible by 4?
  4. 4.Is 49862 divisible by 9?
  5. 5.Is 92328 divisible by 30?
  6. 6.Is 73248 divisible by 24?
  7. 7.Is 38098 divisible by 15?
  8. 8.Is 74940 divisible by 20?
  9. 9.Is 11183 divisible by 2?
  10. 10.Is 1094 divisible by 4?
  11. 11.Is 117576 divisible by 24?
  12. 12.Is 47663 divisible by 15?
  13. 13.Is 103773 divisible by 15?
  14. 14.Is 160747 divisible by 23?
  15. 15.Is 4932 divisible by 4?
  16. 16.Is 43970 divisible by 10?
  17. 17.Is 8754 divisible by 3?
  18. 18.Is 60841 divisible by 17?
  19. 19.Is 75690 divisible by 15?
  20. 20.Is 13082 divisible by 30?
  21. 21.Is 23630 divisible by 15?
  22. 22.Is 20722 divisible by 10?
  23. 23.Is 44461 divisible by 13?
  24. 24.Is 36606 divisible by 10?
  25. 25.Is 71970 divisible by 15?
  26. 26.Is 49752 divisible by 24?
  27. 27.Is 1108 divisible by 30?
  28. 28.Is 24323 divisible by 10?
  29. 29.Is 35726 divisible by 17?
  30. 30.Is 19645 divisible by 5?
  31. 31.Is 44061 divisible by 12?
  32. 32.Is 54662 divisible by 10?
  33. 33.Is 38810 divisible by 10?
  34. 34.Is 16733 divisible by 29?
  35. 35.Is 32715 divisible by 5?
  36. 36.Is 29369 divisible by 24?
  37. 37.Is 64536 divisible by 24?
  38. 38.Is 16972 divisible by 3?
  39. 39.Is 33820 divisible by 10?
  40. 40.Is 19128 divisible by 5?

Answer key

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

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