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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 306 · 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 47437 divisible by 13?
  2. 2.Is 26212 divisible by 11?
  3. 3.Is 22612 divisible by 10?
  4. 4.Is 28275 divisible by 5?
  5. 5.Is 57600 divisible by 19?
  6. 6.Is 134094 divisible by 24?
  7. 7.Is 13125 divisible by 7?
  8. 8.Is 2574 divisible by 9?
  9. 9.Is 5430 divisible by 6?
  10. 10.Is 4819 divisible by 2?
  11. 11.Is 110813 divisible by 24?
  12. 12.Is 12528 divisible by 12?
  13. 13.Is 11606 divisible by 7?
  14. 14.Is 65355 divisible by 15?
  15. 15.Is 17204 divisible by 17?
  16. 16.Is 10539 divisible by 2?
  17. 17.Is 73614 divisible by 11?
  18. 18.Is 133440 divisible by 20?
  19. 19.Is 67449 divisible by 18?
  20. 20.Is 5377 divisible by 19?
  21. 21.Is 8055 divisible by 5?
  22. 22.Is 12059 divisible by 2?
  23. 23.Is 31662 divisible by 18?
  24. 24.Is 37234 divisible by 30?
  25. 25.Is 42068 divisible by 30?
  26. 26.Is 128719 divisible by 19?
  27. 27.Is 100951 divisible by 18?
  28. 28.Is 55027 divisible by 15?
  29. 29.Is 18408 divisible by 8?
  30. 30.Is 18345 divisible by 5?
  31. 31.Is 88110 divisible by 18?
  32. 32.Is 51942 divisible by 10?
  33. 33.Is 102951 divisible by 17?
  34. 34.Is 17702 divisible by 9?
  35. 35.Is 43370 divisible by 8?
  36. 36.Is 12032 divisible by 4?
  37. 37.Is 656 divisible by 8?
  38. 38.Is 48349 divisible by 17?
  39. 39.Is 44021 divisible by 7?
  40. 40.Is 13449 divisible by 3?

Answer key

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

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