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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 42 · 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 11996 divisible by 7?
  2. 2.Is 43826 divisible by 17?
  3. 3.Is 4092 divisible by 11?
  4. 4.Is 18930 divisible by 6?
  5. 5.Is 10428 divisible by 12?
  6. 6.Is 11021 divisible by 6?
  7. 7.Is 25950 divisible by 5?
  8. 8.Is 86176 divisible by 18?
  9. 9.Is 16414 divisible by 29?
  10. 10.Is 15528 divisible by 3?
  11. 11.Is 15648 divisible by 3?
  12. 12.Is 2001 divisible by 4?
  13. 13.Is 33105 divisible by 5?
  14. 14.Is 11337 divisible by 4?
  15. 15.Is 1623 divisible by 11?
  16. 16.Is 28520 divisible by 23?
  17. 17.Is 8140 divisible by 20?
  18. 18.Is 25640 divisible by 5?
  19. 19.Is 12315 divisible by 5?
  20. 20.Is 13813 divisible by 4?
  21. 21.Is 26644 divisible by 13?
  22. 22.Is 21420 divisible by 5?
  23. 23.Is 12456 divisible by 4?
  24. 24.Is 53855 divisible by 18?
  25. 25.Is 113119 divisible by 20?
  26. 26.Is 5654 divisible by 11?
  27. 27.Is 106989 divisible by 19?
  28. 28.Is 32876 divisible by 6?
  29. 29.Is 103625 divisible by 23?
  30. 30.Is 71825 divisible by 17?
  31. 31.Is 27378 divisible by 7?
  32. 32.Is 208890 divisible by 30?
  33. 33.Is 126020 divisible by 20?
  34. 34.Is 67012 divisible by 17?
  35. 35.Is 23312 divisible by 13?
  36. 36.Is 23196 divisible by 4?
  37. 37.Is 17220 divisible by 5?
  38. 38.Is 212 divisible by 13?
  39. 39.Is 33921 divisible by 9?
  40. 40.Is 23483 divisible by 7?

Answer key

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

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